研究所之后

A student at the board

The surviving account of Grothendieck’s Orsay teaching begins not with him at the board but with a student. In the 1972–73 academic year, Daniel Pecker later recalled, a three-hour preparation session for the mathematics agrégation opened with a presentation by one of the candidates, often on an elementary subject. Grothendieck listened, commented, and completed the exposition. Winfried Scharlau reports Pecker’s testimony; no contemporary course notes in the available record allow the scene to be treated as more than an identified recollection.

The change of scale was considerable. At IHÉS, Grothendieck had directed a research program among advanced algebraic geometers. At the Collège de France, even his technical course concerned the edge of p-divisible groups and crystalline theory. The agrégation prepared candidates for a national competitive examination associated especially with teaching in secondary schools. It required broad command of established mathematics, lucid presentation, and the ability to respond under examination. Novel research was not the object.11Scharlau, Spirituality, ch. 7.

Pecker remembered roughly fifteen or twenty students and an instructor who emphasized the motivation of concepts rather than calculation or tricks. In one account of a presentation on group theory, Grothendieck clarified how generators and relations describe a group and responded patiently to a question. These details belong to Pecker’s memory as transmitted by Scharlau. They are not a transcript and cannot support invented gestures or exact dialogue.

The testimony nevertheless establishes a form of continuity often lost between the dramatic departure from research and the next university post. Grothendieck did not regard all elementary teaching as beneath him. He could bring a conceptual style formed in high research to students preparing for a formal examination. Refusal of research’s supremacy opened one path toward ordinary pedagogy, even inside a system of selection.22Scharlau, Spirituality, ch. 7.

The examination he had never followed

The agrégation occupies a particular place in French intellectual life. It is not simply a final course test. It ranks candidates through a national competition and historically provides a prestigious route into teaching. Preparation develops a shared canon and a style of oral exposition. It also reproduces hierarchy through intensive selection, exactly the mechanism Survivre criticized in universities and professions.33Pessis, “Les années 1968 et la science: Survivre … et Vivre, des mathématiciens critiques à l’origine de l’écologisme,” 84–113; Scharlau, Spirituality, ch. 7.

Grothendieck had not followed the elite educational path typical of many French mathematicians. He was not a former student of the École normale supérieure and did not belong to the network of normaliens who occupied many leading posts. Pecker remembered him mentioning that outsider status. The remark could encourage students facing an examination and could also create a new distinction: the outsider whose record appeared to bypass the approved route.44Scharlau, Spirituality, ch. 7.

Teaching agrégation preparation therefore contained no simple populist escape. These were highly trained candidates, not a general public. The examination promised employment and status; success required performance within inherited norms. At CERN, Grothendieck had separated mathematics done for pay from the research agenda he was abandoning.55Grothendieck, “Allons-nous continuer la recherche scientifique ?” 3; Scharlau, Spirituality, ch. 7.

Within the constraint, method mattered. If a student presented first, the class’s errors and choices became material for thought rather than defects hidden by a polished lecture. Conceptual commentary could reveal why a definition was useful and where a proof began. The arrangement distributed speech more than a monologue, though the professor retained final authority to correct and complete.

The Orsay course is thus a modest test of the lecture-as-assembly. It did not discuss survival and, according to Pecker, Grothendieck did not introduce his ecological activism there. The restraint is significant. After insisting at the Collège that critical reflection belonged in mathematical teaching, he could also devote a course entirely to helping students meet its stated purpose. There is no evidence that one practice replaced the other through a declared principle.66Scharlau, Spirituality, ch. 7.

Orsay after 1968

Orsay was not politically neutral ground. In May 1968 and its aftermath, scientists and teachers there had debated hierarchy, curriculum, research, and the relation between the professions. Grothendieck had taken part in a working group on university structures and later said that the experience first made teaching a political question for him, though it did not then alter his research life. Pierre Samuel carried discussions of mathematics and society among colleagues at Orsay.77Grothendieck, “Comment je suis devenu militant ?”; Pessis, “Les années 1968 et la science: Survivre … et Vivre, des mathématiciens critiques à l’origine de l’écologisme,” 84–113.

Returning as a teacher after IHÉS changed his position in those debates. He was no longer a research professor largely exempt from elementary instruction, commenting on how universities ought to be organized. He had a class and an examination to prepare. The institutional question became how far pedagogy could change while still serving a national competition.88Grothendieck, “Comment je suis devenu militant ?”; Pessis, “Les années 1968 et la science: Survivre … et Vivre, des mathématiciens critiques à l’origine de l’écologisme,” 84–113.

The preparation format reported by Pecker gave students responsibility for presentation but retained the syllabus’s external pressure. A candidate could choose an exposition and still be judged by standards not created in the room. Grothendieck’s commentary might clarify concepts and also demonstrate the distance between student and master. Participation does not remove assessment merely because the learner speaks first.99Scharlau, Spirituality, ch. 7.

His reported refusal of calculation shortcuts expressed one philosophy of mathematics. Competitive examinations often reward efficient recognition of standard moves. Grothendieck preferred to ask what a structure meant and why a definition had been introduced. That preference could deepen understanding and could fail to prepare candidates for every practical demand of the exam. The evidence here does not include results or student consensus.

The ordinary subject matter also allowed him to revisit foundations without claiming new research. Generators and relations are basic tools of group theory: one specifies elements that generate a group and equations they must satisfy. A presentation can become a list of formal moves or an inquiry into how local instructions determine a global object. The latter style was continuous with his conceptual mathematics at a level a broader class could enter.

Pecker remembered that Grothendieck did not discuss ecological activism in the course. This restraint contradicts the claim that he had become unable to teach without preaching. The account does not state why. The fact is pedagogically important: he could let mathematics occupy a room without requiring every room to stage the survival debate.

Orsay therefore complicates both narratives of 1970. In one, politics displaced mathematics entirely. In another, activism was a temporary spectacle beside an unchanged career. The reported class shows mathematical practice altered in audience and status. He taught material others needed, under institutional constraint, with a conceptual attention recognisably his own.

Pedagogy without a miracle

Later accounts of Grothendieck as teacher often adopt the language of revelation: a concept became transparent, an elementary fact opened into a world, no notes were needed. Such testimony records real experience and easily becomes hagiography. A clear explanation is work, not magic. It draws on long familiarity, selects examples, notices confusion, and changes pace. Improvisation succeeds because the subject has been thought through for years.

The absence of calculation in one remembered class should not become a model for all learners. Calculation can reveal structure, train attention, and test whether a concept has been understood. Grothendieck’s own abstractions rested on enormous technical command, even when he omitted computations from the board. A student preparing for the agrégation needed both motivation and practice.

Nor does patience in one course settle his relations with every student. Illusie remembered an extraordinary adviser; others experienced the scale of his programs as overwhelming. Teaching styles vary with period, audience, and personal relation. The Orsay recollection is valuable because it comes from outside the small circle of advanced algebraic geometry, not because it proves a universal gift.

The class also placed questions back inside mathematics. Pecker reportedly asked when he did not understand and received a patient response. In a lecture culture where questions could signal weakness, the exchange mattered. It enacted on a small scale the permission to speak that Survivre sought in public debates. The professor remained the source of correction; the student could interrupt the path.

Pedagogy offered a form of mathematical life less governed by publication. Its result existed in another person’s understanding and rarely entered a bibliography. This made it fit Grothendieck’s critique of production metrics. It also made the work less visible to historians, who possess books and letters more readily than remembered explanations.

Teaching could become another idealized refuge if institutional labor were ignored. Courses require schedules, rooms, examinations, colleagues, and administration. Students need credentials and employment. Grothendieck did not create a free school at Orsay; he worked in a public university. The possibility lay in using a constrained role differently, not escaping constraint.

Still inside the university

By the 1972–73 academic year Grothendieck’s two-year associate appointment at the Collège de France had ended. His principal teaching base was Orsay. A later curriculum vitae reportedly dated Orsay activity from 1971, suggesting some overlap; the institutional personnel record has not been inspected for this account. The chapter therefore uses the academic year rather than a falsely exact start.

This sequence matters because after the institute can sound like institutional exile. He left IHÉS, a small research institute built for concentrated high-level work, and entered other public institutions with different obligations. The Collège provided temporary prestige and open lectures. Orsay placed him within a university and an examination culture. He refused one institutional relation and remained dependent on others.1010Grothendieck, “Remous au Collège de France”; Scharlau, Spirituality, ch. 7.

Paid teaching did not invalidate refusal. At CERN he openly said that mathematics remained his only profession. He described a plan to do the work required for his livelihood and redirect the rest of his energy.1111Grothendieck, “Allons-nous continuer la recherche scientifique ?” 3.

The boundary of the minimum moved. A careful explanation to an Orsay student could demand intellectual attention and give pleasure. A course on Barsotti–Tate groups could generate new mathematics even if classified as teaching. A research statement could be attached to a job application after research had been publicly renounced. Institutions did not allow the categories to remain morally neat.

The changing map of work

At IHÉS, place and vocation had coincided. Bures-sur-Yvette meant a small institute, few teaching obligations, visitors at the highest level, and a program capable of absorbing nearly every waking hour. After 1970 the map fragmented. Employment came from temporary or university posts; activism traveled through homes, campuses, youth centers, and journal offices; advanced mathematics continued in courses and other people’s books.

Fragmentation was one of the conditions he criticized in science, yet here it also created freedom. No director or seminar calendar held all his activity. He could refuse one invitation, attach a debate to another, teach an ordinary course, or spend weeks on correspondence. The cost was lack of a stable structure to carry any one project when his attention moved.

Work categories also acquired different publics. A theorem addressed a small international group. A CERN debate addressed scientists and technicians through translation. A Survivre article addressed readers across activist networks. An agrégation course addressed future teachers. The same speaker could be expert, dissident, editor, or employee depending on the room.

These roles did not share one standard of success. Mathematical work could be checked for proof and later use. A journal could be measured in copies, responses, and campaigns, none sufficient alone. Teaching might appear in a student’s understanding decades later. Political action could fail its immediate demand and alter language. Grothendieck’s surviving public judgments sometimes applied absolute measures to activities whose results were dispersed.

The map was also institutional. The Collège and Orsay provided salaried posts, while the journal relied on subscriptions, donations, and volunteer work. A secure post could support dissent and tie the dissenter to state structures. This entanglement was not a footnote to his ethics; it was the condition under which the ethics operated.

Time became the scarce common currency. Hours spent routing a journal were not spent preparing a course; weeks in North America were not spent at the Paris secretariat. The rhetoric of total commitment concealed allocation. Every chosen task was also a refusal of another.

No later post in this chapter is treated as restoring the alignment of place and vocation associated with IHÉS. The title after the institute therefore names a documented change in institutional relations, not a private state. He remained employed and intellectually active without one public program capable of naming the whole.

The movement without a single departure

During 1972 Grothendieck’s daily involvement in Survivre diminished. There is no secure resignation date. The journal’s fourteenth issue, dated October–November, still named him as publication director. Later accounts place withdrawal across 1972 or by 1973. The public record supports a slope: less secretarial and editorial labor, longer absences, and a journal increasingly carried by others.1212Survivre … et vivre, no. 14; Pessis, “Les années 1968 et la science: Survivre … et Vivre, des mathématiciens critiques à l’origine de l’écologisme”; Scharlau, Spirituality.

From early May to mid-July 1972 he was in the United States, according to Scharlau’s reconstruction. The absence interrupted French work. Other participants had already taken on correspondence, editing, and liaison bulletins. The movement’s growth made such redistribution necessary regardless of his travel. A paper printing more than ten thousand copies could not remain the extension of one person’s desk.

Looking back much later, he wrote that his withdrawal from antimilitary, ecological, and countercultural activity was gradual and that routine engagement had reached an impasse. The later autobiographical framework cannot be projected into 1972 as a diary. It does accord with the contemporary evidence of ebbing work and changing direction.

Why movements lose their first shape

Survivre had been formed around urgency, novelty, and an initiator able to devote extraordinary time. Each condition changed. By 1972 ecological questions had entered larger newspapers and organizations. Antinuclear committees possessed local causes and networks. The journal no longer held the same monopoly on connection. Success dispersed the field that had made the paper necessary.

Growth also converted improvisation into administration. Twelve thousand copies, subscriptions, distributors, letters, accounts, and requests for speakers demanded routine. The group’s politics valued spontaneous, liberating action and distrusted bureaucratic roles. Someone nevertheless had to maintain addresses and meet printer deadlines. The more the movement worked, the more it generated the structure its published politics rejected.

Grothendieck had encountered a similar tension in mathematics. A creative seminar produced volumes and an institution; maintaining them could displace invention. In Survivre he again drove a collective project until its administration became immense. The resemblance concerns organizational form; it does not establish that one experience caused the other. The public record instead shows his routine editorial work declining while issue 14 still named him publication director.1313Survivre … et vivre, no. 14; Pessis, “Les années 1968 et la science: Survivre … et Vivre, des mathématiciens critiques à l’origine de l’écologisme”; Scharlau, Spirituality.

Other participants valued continuity differently. A regular journal could build trust, preserve information, and support campaigns. A treasurer’s work was not evidence that inquiry had gone stale. Samuel’s practice treated durable organizations as necessary to ecological politics. Guedj’s published arguments warned that organizations could begin serving their own survival. Both problems were real; the group could not maximize permanence and dissolution simultaneously.

The movement also lacked a shared constituency. It began among scientists and opened to non-scientists; it rejected speaking for either. It connected local groups without authorizing a federation. It criticized experts while publishing expertise. It called itself ecological and then criticized the ecological movement. Reflexivity protected it from dogma and made a stable program harder to sustain.

Political context changed. The aftermath of May 1968 continued to fragment and recombine. Situationist, Maoist, libertarian, nonviolent, feminist, and ecological currents developed their own languages. La Gueule ouverte and other outlets offered contributors different audiences. A person could leave Survivre without leaving dissent. The journal ceased to be the necessary meeting point it had briefly been.

Available time mattered without becoming a secret cause. Grothendieck’s travel and teaching competed with editorial labor. Similar pressures affected other participants. A movement that depends on unpaid time is vulnerable to changes in availability that its political theory cannot abolish.

There was no moment when all these factors produced a vote to end the first phase. Daily work moved, issues appeared later, disagreements sharpened, and people chose other projects. A single departure date would make a process look like a decision. The slope is harder to narrate and more faithful to how collectives change.

What the public record can establish

The public evidence for withdrawal consists of credits, publication dates, itineraries, and later attributed testimony. No. 14 still named Grothendieck as publication director. Later numbers appeared under an editorial direction that no longer depended on his daily work. Movement records document travel and changing responsibilities, but they do not provide a dated resignation.

That evidence supports a change in public activity, not a complete account of private causation. Later biographies offer domestic explanations from limited testimony, but the evidence is insufficient for direct biographical assertion and those claims are omitted here.

Grothendieck’s much later self-interpretation is relevant as an A2 retrospective source. It presents the withdrawal as gradual and associates it with dissatisfaction at routine activism. The text establishes how he later understood the period; it does not establish every motive operating in 1972.

The distinction preserves a historical result. Survivre became less dependent on its initiator and moved in directions he later criticized. The available record supports that institutional and editorial transition without requiring a private master key.

Issue 14: still named

The formal credit on no. 14 prevents an early clean break. The October–November masthead still listed Grothendieck as publication director. The issue’s central nuclear editorial was collective; the title page shows continuing legal or formal responsibility, not authorship of every line.

The issue also demonstrates that the movement’s most visible campaign could peak while its initiator was receding. The Saclay waste affair received national attention. The editorial articulated unconditional opposition to the nuclear industry. Other contributors supplied technical material, local reports, drawings, and analysis. Survivre was no longer waiting for Grothendieck to provide its only program.1414Survivre … et vivre, no. 14.

Formal roles can outlive daily practice. A publication director bears legal responsibility and may not perform layout, correspondence, or editorial selection. Conversely, a person absent from the masthead may do most of the work. The biography should not infer hours from a title. Pessis’s labor history and the bulletins show responsibilities moving among Guedj, Samuel, objectors, and other participants.

The no. 14 cover priced the issue in francs, Canadian cents, and, jokingly, one goat cheese for communities. That small comic detail condensed the journal’s changed culture: international aspiration, alternative exchange, and refusal of solemn uniformity. It also belonged to a real commodity that required printing and sale. The movement could joke about exchange while needing accounts.

Issue 15: alternatives beside critique

No. 15, dated January–February 1973, continued the nuclear dossier. Articles on experts, Saclay geology, and the problems of nuclear systems stood beside an opening on solar energy. The juxtaposition answered a demand that opposition to central power identify practices that could meet needs differently.1515Survivre … et vivre, no. 15.

The solar article describes accessible principles and devices rather than a national replacement plan. Its political value lay in making energy intelligible and buildable at a small scale. Readers could see the relation between sunlight, black surfaces, glass, water, and heat. Technical agency was part of the alternative.

The issue appeared in fewer copies than previous numbers. Its editorial note explains distribution limits and offers an additional nuclear pamphlet. The machine that had grown rapidly was contracting. Contraction did not mean that every argument had failed; ecological journalism and antinuclear organization were expanding elsewhere. It meant that this particular combination of journal, group, and labor was becoming harder to sustain.1616Survivre … et vivre, no. 15.

Pierre Samuel had taken a strong role in the issue and represented the pragmatic ecological engagement moving toward other organizations. Guedj and younger radicals increasingly criticized concrete environmental campaigns that sought effectiveness within existing structures. The divergence was not between ecology and indifference. It concerned whether ecological action could avoid being absorbed by the system it tried to alter.

Issue 16: no fixed identity

The opening editorial of no. 16 seeks to settle a misunderstanding. Survivre et Vivre should not be an organization granting labels to followers, an ecological avant-garde, or an ideological laboratory producing certainties. It should be a group of individuals committing only themselves. The editorial called for the means to enact the group’s stated position rather than another explanation of its identity.1717Survivre … et vivre, no. 16, p. 3.

The text carries decentralization toward dissolution. Membership and representation had already been criticized; now even the name could not function as a badge. Affinity rather than ecological identity should bring people together. The editorial refuses responsibility for creating doctrine. Such freedom protected against hierarchy and made coordinated accountability difficult.

The same issue criticizes ecological politics as a possible system of control and examines eco-fascism. Public ecology could justify austerity, population management, surveillance, and rule by experts. The journal’s reflexive turn was historically perceptive. It also moved further from campaigns that had to make shared claims and negotiate decisions.1818Survivre … et vivre, no. 16.

Pierre Samuel announced his departure and cited essential differences of conviction and style. He ended responsibility for the group’s publications and activities and wished the remaining participants well. The speaker was Samuel, not Grothendieck; confusing their exits would erase the very divergence at issue.1919Survivre … et vivre, no. 16.

Samuel did not leave ecological politics. He moved into Friends of the Earth and continued antinuclear work. His departure shows that withdrawal from Survivre could mean a judgment about organization rather than abandonment of the cause. Grothendieck’s ebb followed another path; the two should not be made a common rejection of the radicalised journal.

After the initiator

No. 17 appeared in 1973 and contains articles on dissent, medicine, schools, factory struggle, insubordination, media, and marginality. The prose and visual form were further removed from the first issue’s austere scientific program. The group continued into later numbers, ending only in 1975. Grothendieck’s withdrawal weakened the machinery but did not immediately end it.2020Survivre … et vivre, no. 17; Scharlau, Spirituality, ch. 6.

Later he judged that after his and Samuel’s departures the journal became a leftist sect repeating analyses. That account in Récoltes et Semailles is valuable as his retrospective judgment and partial as a history of people who continued. They might describe the later issues as liberation from an overbearing founder, theoretical radicalisation, or loss of practical direction. The publication itself permits readers to see change without accepting one obituary.2121Grothendieck, Récoltes et Semailles (Université des Sciences et Techniques du Languedoc and Centre National de la Recherche Scientifique, 1986), 641–42.

The movement’s afterlife also dispersed into other forms. Regional groups continued environmental and antinuclear action. Individuals entered ecological journalism, alternative health, organic agriculture, Friends of the Earth, and local campaigns. A central publication can die while relations it helped create persist. Conversely, later success elsewhere cannot be credited entirely to Survivre.

Grothendieck’s own later disappointment should not be turned into proof that the project failed. It did not produce the international movement he first imagined or transform scientific institutions on the desired scale. It did circulate a critique of military research, help early ecological networks, give antinuclear voices space, and alter participants’ lives. Results were mixed because the aims were multiple.

How to assess a short movement

Longevity is one measure of an institution and a poor sole measure of a movement. Survivre’s central Paris form lasted only a few years. Friends of the Earth, trade unions, universities, and nuclear institutions proved more durable. If endurance alone determined value, the movement’s anti-bureaucratic experiment would be condemned by definition.

Immediate policy success offers another measure. Survivre did not halt the French nuclear program, abolish military funding, or replace scientific organization. Its warnings about imminent civilisational collapse did not occur on the proposed timetable. Judged only against maximal aims, it failed. Maximal aims, however, were also rhetoric that gathered smaller actions not all dependent on the forecast.

Circulation provides a third measure. Print runs reached thousands; articles, addresses, and cartoons moved; people met. Numbers demonstrate reach but not agreement or change. A copy can be unread, a meeting forgotten, a slogan misunderstood. Conversely, one relationship can redirect a career, as Edwards later said his meeting with Grothendieck did.

Conceptual effect is harder to count. The journal joins ecology to criticism of science, expert authority, militarism, and everyday life at an early moment. It helped articulate questions that later became common in political ecology. It did not own those questions, which arose through multiple movements and longer histories. Precursor is useful only if it does not turn later developments into fulfillment of an original plan.

Practical afterlives offer a fourth measure. Samuel’s work, Canadian antinuclear advocacy, regional ecological groups, food networks, alternative technology, and participants’ later professions carried parts of the experience elsewhere. These lives are not products manufactured by Survivre; they are evidence that the group was one formative setting.

Internal relations provide the most demanding measure by the movement’s own standard: whether it reduced hierarchy and allowed hidden speech. The record is mixed. A few strong male personalities dominated. Practical labor was gendered. Grothendieck’s charisma could constrain. The journal nevertheless published criticism of its leaders, changed form, rejected mandate, and continued after its founder. It did not achieve equality and did expose its own failures unusually often.

Historical assessment should therefore be plural and asymmetrical. A movement can fail to stop a reactor, succeed in creating a network, reproduce gender hierarchy, clarify a democratic problem, overstate a danger, and change one person’s life. Combining these into one score would imitate the technocratic metric it criticized.

Grothendieck’s later autobiographical account measures the project against expectations of comprehensive transformation. Mathematics had rewarded the construction of frameworks that reorganized entire fields; political life offered no comparable closure. His later judgment used this contrast, but it does not establish a private motive in 1972.2222Scharlau, Spirituality, ch. 6; Grothendieck, Récoltes et Semailles (Université des Sciences et Techniques du Languedoc and Centre National de la Recherche Scientifique, 1986).

January 20, 1973

On January 20, 1973, Grothendieck wrote to the professors of the Collège de France announcing that he intended to apply for the next available mathematics position. Scharlau reproduces a portion of the letter and reports that copies went to Jacques Tits and Jacques-Louis Lions, who were candidates for the chairs eventually created. The original application dossier has not been directly inspected for this account, so the wording is not quoted here.2323Scharlau, Spirituality, ch. 7.

This evidence forms one secondary transmission chain. It supports an attributed report that a dated letter existed and that Scharlau read it; it does not provide an independently opened image, a complete research statement, or Collège minutes confirming how the dossier was received. The chapter therefore separates three levels: the candidacy as reported, the outcome recorded in the later appointments, and the reasons for that outcome, which remain unknown. A complete archival record could alter the interpretation without changing the fact that the application and the public refusal of conventional research occupied the same period. The missing record remains an archival priority, not an invitation to infer private motive.

The application appears paradoxical. He had spent two years criticizing the institutional supremacy of research and had just completed a contentious temporary appointment at the Collège. He had declared that disinterested research no longer attracted him. Yet he sought a permanent mathematics chair in one of France’s most prestigious institutions.

Paradox is not evidence of bad faith. A Collège chair offered institutional autonomy and a public platform, features he had already used for critical teaching. That contextual fit does not establish why he applied. The record does not support a single motive.

He reportedly attached a statement placing work toward a stable and humane society ahead of an orthodox mathematical program. The secondary summary suggests continuity with his public position and a possible mismatch with expectations for a research chair. The summary must remain cautious because the complete statement is not in the available record.

A candidacy as institutional experiment

The application can be read as an extension of the disputed course. During the temporary appointment, Grothendieck had tried to place the social purpose of science inside a mathematics chair. A permanent post would let that experiment continue without annual renewal. The attached statement appears to have told the professors in advance that they would not be appointing a conventional research program.

Such candour protected against one accusation. He was not obtaining a chair under a technical description and then secretly replacing it with activism. The faculty could evaluate the proposed use. It also made refusal depend on recognition by the institution refused: to criticize the Collège from a permanent chair, he first needed its vote.

The candidacy tested whether exceptional past achievement could support a future program outside normal productivity. The Collège sometimes appoints a body of work and intellectual direction rather than a narrow list of coming papers. Grothendieck’s mathematical record exceeded any ordinary threshold. The question was whether that record warranted institutional freedom after he had denied research priority.

From one perspective, appointment would reward a famous man for declining the work expected of less protected academics. A junior teacher could not submit a statement placing another cause before research and expect a chair. From another, the purpose of a rare institution was precisely to protect work that ordinary career metrics could not contain. The decision implicated equality and exception.

His claim not to be a specialist challenged the chair system conceptually. Grothendieck’s contributions had crossed functional analysis, homological algebra, algebraic geometry, topology, and arithmetic. The breadth justified the description historically. It did not imply competence in every branch, nor did it answer what he proposed to teach next.

Scharlau reports that Grothendieck sent copies to Tits and Lions. The act does not establish a motive. It does show that the candidacy was not quiet: he made his position visible to the people most directly affected.

The application also reopens the meaning of livelihood. A permanent chair would provide security while leaving time for social work. Grothendieck had criticized the use of research as a condition for employment. Seeking a post based on past mathematics and future public inquiry enacted an alternative: security need not be purchased through continual production.

Institutions, however, allocate scarce goods. Appointing one program means not appointing another. Tits and Lions represented active mathematical fields, students, and institutional futures. The decision could not be made solely by honoring Grothendieck’s past or admiring his ethical stance. A biography that assumes the chair was his by past achievement repeats the hierarchy he opposed.

The missing dossier therefore matters. Without assembly minutes, reports, candidate comparisons, and votes, the historian cannot say whether professors rejected activism, preferred defined fields, distrusted his reliability, or followed arrangements already in motion. The gap protects the people involved from a plausible but invented trial.

The chairs and the silence of causes

The Collège created two mathematics chairs in 1973. One, in group theory, went to Jacques Tits; the other, in the analysis of systems and control, went to Jacques-Louis Lions. Grothendieck was not appointed. The outcome can be stated; the cause cannot be read directly from it.

Later narratives offer tempting explanations. His activism had alienated professors. His research statement announced priorities incompatible with a mathematics chair. The fields may already have been oriented toward Tits and Lions. His candidacy may have been symbolic rather than strategic. Each possibility has some plausibility; the available record lacks the complete voting and correspondence record needed to rank them.

The choice of Tits and Lions also represented mathematical directions of their own and cannot be reduced to rejection of a dissident. Tits had transformed group theory and geometry; Lions led influential work in analysis, control, and applied mathematics. The institutional rise of applications that had formed part of the Nice context was visible in the second chair. Their appointments should not be narrated as positions stolen from a uniquely deserving man.

Grothendieck’s letter reportedly said he was not a specialist in group theory or applied mathematics and did not define himself as a specialist in any field. That self-description drew on the breadth of his work and challenged the chair labels. It also asked an institution to appoint a person whose declared program exceeded its announced fields. Refusal and candidacy met at the limit of institutional recognition.

Refusal and application

The recorded actions do not support a simple rejection of institutions. Grothendieck challenged IHÉS funding, contested the Collège’s course decision, and later applied for a permanent Collège chair. These public acts and letters show repeated engagement with institutional terms; they do not establish an inner attachment.2424Grothendieck, “Remous au Collège de France”; Scharlau, Spirituality, ch. 7.

This coexistence is not unusual in political life. People seek universities because they preserve time, memory, salary, and public space; they criticize them because those goods are distributed through hierarchy and compromise. An imagined position wholly outside institutions often depends on unseen institutions—property, family income, publishing, or the state.

Grothendieck’s extremity made the relation visible. He treated a small military-origin subsidy as a boundary, then accepted salaries from public institutions embedded in a state with armed forces and nuclear policy. That was not a logical oversight so much as the problem of where to draw actionable lines in an entangled society. He drew one line, discovered wider entanglement, and kept working inside selected structures.

The permanent Collège position offered exceptional autonomy. Autonomy can support dissent and insulate a professor from ordinary accountability. His two-year experiment had displayed both. The application followed his public decision to continue discussion sessions after the assembly rejected the course title; the sequence placed institutional freedom and accountability in open conflict.

A sequence of refusals

The years can be read as a sequence of noes, but each no had a different object. He refused to remain at IHÉS without a guarantee about military funding. He refused to keep the purpose of science outside mathematical teaching. He refused to treat expert knowledge as sufficient authority over public decisions. He refused to make pure research the first claim on his time. He did not refuse every salary, course, institution, or mathematical relation.

This distinction prevents refusal from becoming a personality trait that explains everything. A person who refuses one condition may seek another institution intensely. A person who rejects research priority may apply for a chair. A person who attacks expertise may rely on scientific studies. Contradiction sometimes indicates hypocrisy; here it often marks different objects hidden under one word.

There were also acceptances. He accepted the Collège appointment and its minimum technical hours. He accepted invitations linked to public debate. He accepted the work of editing a movement paper and the authority of collective criticism. He accepted employment at Orsay. These choices placed limits on the image of total withdrawal.

The ledger includes observable costs. Collaborators and students carried programs; movement participants absorbed additional work; institutional sponsors faced conflict. Grothendieck left a privileged research environment. The sources do not permit a common unit.

It also includes benefits distributed unequally. Survivre used his name to draw attention. Students received teaching. Institutions advertised courses by a well-known dissident even when they rejected his program. Refusal can enter exchange rather than stand outside it.

No balance sheet decides whether the choices were right. The metaphor is useful only to resist a single heroic sacrifice. Ethics occurred through relations with consequences, not in an isolated will. The unresolved entries are part of the truth.

By 1973 the refusals had not accumulated into a complete alternative. The movement was changing without him; the permanent Collège chair was not his; new science remained a program. The result was unfinished.

What survived

Between 1970 and 1973 Grothendieck lost an institute and gained no stable movement to replace it. That formulation is true and incomplete. He also entered the Collège, taught at Orsay, spoke across campuses and towns, helped publish a journal reaching thousands of copies, participated in antinuclear campaigns, and continued mathematical teaching. Survival was not emptiness after the summit. It was a crowded rearrangement.

His political analysis changed. Military patronage had been the first boundary. Industrial civilization, expert authority, ecological damage, education, medicine, consumption, and personal relations entered the frame. The widening generated insight and overreach. He helped ask who controlled knowledge, while his public arguments sometimes repeated idealized evidence that supported an alternative. He opposed hierarchy and exercised charismatic power. He demanded collective speech and carried a movement through extraordinary individual labor.

His mathematics changed status rather than vanishing. It moved from vocation to livelihood, from original program to teaching and influence, from current seminar to books arriving after their time. Barsotti–Tate groups and crystals crossed the breach. Orsay showed that elementary exposition could remain alive when research no longer ruled.

Survivre also survived him for a time and thereby ceased to be his. The later journal’s radical language did not fulfill his original program; neither was it merely decay. Samuel’s exit, Guedj’s direction, regional campaigns, and new contributors demonstrated that a collective cannot be measured only by its founder’s satisfaction.

1973 was not a blank

Chronologies often mark 1970 as the end of Grothendieck’s mathematical career and then leap to the great manuscripts of the 1980s. The intervening years become silence. In 1973 the record instead contains teaching, a job application, a nuclear journal, movement disagreements, mathematical books in publication, travel, and a university appointment. The activity lacked one dominant title; it was not empty.

The absence of a major new research paper is real. For a bibliography, 1973 looks unlike the IHÉS years. Bibliography measures one public form and can make teaching, correspondence, failed projects, and political work disappear. Grothendieck himself encouraged the contrast by declaring research over. A biography must retain the bibliographic break and recover the other labor.

Movement history can create another blank by following Survivre after its founder and losing him when he leaves the masthead. Institutional history can lose him between temporary posts. Personal history can overfill the gap with speculation. The six chapters of this Part use overlapping archives so that no one absence becomes total.

The SGA volumes arriving in 1973 further complicate public time. Readers encountered Grothendieck’s earlier mathematical architecture as newly published work during the same year. The past remained contemporary for everyone learning from the books. His own calendar and the discipline’s calendar had separated.

Survivre’s calendar had separated too. No. 16 and no. 17 spoke in a collective language less centered on him. A reader receiving them could still associate the title with the famous founder. Public identities persist after daily relations end. The later journal had to work under a name whose recognition was both resource and burden.

At Orsay, students may not have experienced a historic rupture at all. They met a professor responsible for preparation. The great past and activist present entered through reputation, clothing, rumour, or not at all. Their immediate question was whether an explanation helped. This ordinary temporality corrects the dramatic biography without making it less true.

The blank, then, was a loss of legibility. The mathematical profession knew how to record papers and chairs; the movement knew how to record issues and actions. Grothendieck was moving between those systems, and much of what he did fit neither cleanly. Survival in 1973 meant living in the uncatalogued space between former vocation and future form.

Against hagiography

It is tempting to arrange these years as an ethical ascent. The great mathematician discovers compromised money, sacrifices glory, warns humanity, and chooses ordinary teaching. The documents refuse that purity. He retained prestige, salary, and authority. He made claims beyond his evidence, and public disagreements continued. The movement did not become the humane society described in its program.

The opposite arrangement is equally false. He did not abandon serious thought and replace it with irrational politics. His institutional critique identified real military entanglement and professional hierarchy. His ecological concerns joined a historical movement larger than himself. His public debates accepted opposition. His mathematical judgment remained capable of illuminating students and shaping durable work.

The biographical task is not to find the midpoint between hagiography and dismissal. It is to keep claims attached to dates, people, and sources. In June 1970 he called for non-collaboration. In late July a group formed. On October 1, after the May 25 decision and June 9 confirmation, his IHÉS departure took effect. In June 1971 professors rejected one course title. In January 1972 CERN questioners challenged him. In autumn the nuclear journal still named him director. In January 1973 he applied to the Collège. The sequence contains no need for a hidden verdict.

Montpellier, 1973

In 1973 Grothendieck joined the University of Montpellier; the institutional notice establishes the destination and year, not the month.2525Institut des Hautes Études Scientifiques, “Some of Grothendieck’s Archives Published Online by the University of Montpellier,” 2017, https://www.ihes.fr/en/some-of-grothendiecks-archives-published-online-by-the-university-of-montpellier/.

Part IX examines the appointment, return, teaching, and institutional meaning from records assigned to that period.