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Category: france

Le Guide Bourbaki : Celles-sur-Plaine

Bourbaki held His Spring-Congresses between 1952 and 1954 in Celles-sur-Plaine in the Vosges department.

  • La Tribu 27, ‘Congres croupion des Vosges’ (March 8th-16th, 1952)
  • La Tribu 30, ‘Congres nilpotent’ (March 1st-8th, 1953)
  • La Tribu 33, ‘Congres de la tangente’ (March 28th-April 3rd, 1954)

As we can consult the Bourbaki Diktat of the first two meetings, there is no mystery as to their place of venue. From Diktat 27:

“The Congress of March 1952 will be held as planned in Celles-sur-Plaine (Vosges) at the Hotel de la Gare, from Sunday March 9 at 2 p.m. to Sunday March 16 in the evening. A train leaves Nancy on Sunday morning at 8:17 a.m., direction Raon-l’Etappe, where we arrive at 9:53 a.m.; from there a bus leaves for Celles-sur-Plaine (11 km away) at 10 am. Please bring big shoes for the walks (there will probably be a lot of snow on the heights).”

Even though few French villages have a train station, most have a ‘Place de la Gare’, indicating the spot where the busses arrive and leave. Celles-sur-Plaine is no exception, and one shouldn’t look any further to find the ‘Hotel de la Gare’.



This Hotel still exists today, but is now called ‘Hotel des Lacs’.

At the 1952 meeting, Grothendieck is listed as a ‘visitor’ (he was a guinea-pig earlier and would only become a Bourbaki-member in 1955). He was invited to settle disputes over the texts on EVTs (Topological Vector Spaces). In the quote below from La Tribu 27 ‘barrel’ refers of course to barreled space:

“But above all a drama was born from the laborious delivery of the EVTs. Eager to overcome the reluctance of the opposition, the High Commissioner attempted a blackmail tactic: he summoned Grothendieck! He hoped to frighten the Congress members to such an extent that they would be ready to swallow barrel after barrel for fear of undergoing a Grothendieckian redaction. But the logicians were watching: they told Grothendieck that, if all the empty sets are equal, some at least are more equal than others; the poor man went berserk, and returned to Nancy by the first train.”

The 1953 meeting also had a surprise guest, no doubt on Weil’s invitation, Frank Smithies, who we remember from the Bourbaki wedding joke.

Frank Smithies seated in the middle, in between Ralph Boas (left) and Andre Weil (right) at the Red Lion, Grantchester in 1939.

At the 1954 meeting we see a trace of Bourbaki’s efforts to get a position for Chevalley at the Sorbonne.

“Made sullen by the incessant rain, and exhausted by the electoral campaigns of La Sorbonne and the Consultative Committee, the faithful poured out their indecisive bile on the few drafts presented to them, and hardly took any serious decisions.”

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Charlie Hebdo on Grothendieck

Charlie Hebdo, the French satirical weekly newspaper, victim of a terroristic raid in 2015, celebrates the 30th anniversary of its restart in 1992 (it appeared earlier from 1969 till 1981).

Charlie’s collaborators have looked at figures who embody, against all odds, freedom, and one of the persons they selected is Alexandre Grothendieck, ‘Alexandre Grothendieck – l’équation libertaire’. Here’s why

“A Fields Medal winner, ecology pioneer and hermit, he threw honours, money and his career away to defend his ideas.”

If you want to learn something about Grothendieck’s life and work, you’d better read the Wikipedia entry than this article.

Some of the later paragraphs are even debatable:

“But at the end of his life, total derailment, he gets lost in the meanders of madness. Is it the effect of desperation? of too much freedom? or the abuse of logic (madness is not uncommon among mathematicians, from Kürt Godel to Grigori Perelman…)? The rebel genius withdraws to a village in the Pyrenees and refuses all contact with the outside world.”

“However, he silently continues to do math. Upon his death in 2014, thousands of pages will be discovered, of which the mathematician Michel Demazure estimates that “it will take fifty years to transform [them] into accessible mathematics”.”

If you want to read more on these ‘Grothendieck gribouillis’, see here, here, here, here, here, and here.

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Le Guide Bourbaki : La Ciotat

Two Bourbaki-congresses were organised at the Côte d’Azur, in La Ciotat, claiming to have one of the most beautiful bays in the world.

  • La Tribu 35, ‘Congres du banc public’ (February 27th – March 6th, 1955)
  • La Tribu 46, ‘Congres du banquet auxiliaire’ (October 5th-12th, 1958)

As is the case for all Bourbaki-congresses after 1953, we do not have access to the corresponding Diktat, making it hard to find the exact location.

The hints given in La Tribu are also minimal. In La Tribu 34 there is no mention of a next conferences in La Ciotat, in La Tribu 45 we read on page 11:

“October Congress: It will take place in La Ciotat, and will be a rump congress (‘congres-croupion’). On the program: Flat modules, Fiber carpets, Schwartz’ course in Bogota, Chapter II and I of Algebra, Reeditions of Top. Gen. III and I, Primary decomposition, theorem of Cohen and consorts, Local categories, Theorems of Ad(o), and (ritually!) abelian varieties.”

La Tribu 35 itself reads:

“The Congress was held “chez Patrice”, in La Ciotat, from February 27 to March 6, 1955.
Presents: Cartan, Dixmier, Koszul, Samuel, Serre, le Tableau (property, fortunately divisible, of Bourbaki).
The absence, for twenty-four hours, of any founding member, created a euphoric climate, consolidated by the aioli, non-cats, and sunbathing by the sea. We will ask Picasso for a painting on the theme ‘Bourbaki soothing the elements’. However, some explorations were disturbed by barbed wire, wardens, various fences, and Samuel, blind with anger, declared that he could not find ‘la patrice de massage’.”

The last sentence seems to indicate that the clue “chez Patrice” is a red herring. There was, however, a Hotel-Restaurant Chez Patrice in La Ciotat.

But, we will find out that the congress-location was elsewhere. (Edit August 4th : wrong see the post La Ciotat (2).

As to that location, La Tribu 46 has this to say:

“The Congress was held in a comfortable villa, equipped with a pick-up, rare editions, tasty cuisine, and a view of the Mediterranean. In the deliberation room, Chevalley claimed to see 47 fish (not counting an object, in the general shape of a sea serpent which served as an ashtray); this prompted him to bathe; but, indisposed by a night of contemplation in front of Brandt’s groupoid, he pretended to slip all his limbs into the same hole in Bruhat’s bathing suit.”

Present in 1958 were : Bruhat, Cartan, Chevalley, Dixmier, Godement, Malgrange
and Serre.

So far, we have not much to go on. Luckily, there are these couple of sentences in Laurent Schwartz’ autobiography Un mathématicien aux prises avec le siècle:

“I knew Daniel Guérin very well until his death. Anarchist, close to Trotskyism, he later joined Marceau Prevert’s PSOP. He had the kindness, after the war, to welcome in his property near La Ciotat one of the congresses of the Bourbaki group. He shared, in complete camaraderie, our life and our meals for two weeks. I even went on a moth hunt at his house and caught a death’s-head hawk-moth (Acherontia atropos).”

Daniel Guérin is known for his opposition to Nazism, fascism, capitalism, imperialism and colonialism. His revolutionary defense of free love and homosexuality influenced the development of queer anarchism.

Now we’re getting somewhere.

But there are some odd things in Schwartz’ sentences. He speaks of ‘two weeks’ whereas both La Ciotat-meetings only lasted one week. Presumably, he takes the two together, so both meetings were held at Guérin’s property.

Stranger seems to be that Schwartz was not present at either congress (see above list of participants). Or was he? Yes, he was present at the first 1955 meeting, masquerading as ‘le Tableau’. On Bourbaki photos, Schwartz is often seen in front of their portable blackboard, as we’ve seen in the Pelvoux-post. Here’s another picture from that 1951-conference with Weil and Schwartz discussing before ‘le tableau’. (Edit August 12th : wrong, La Tribu 37 lists both Schwartz and ‘Le Tableau’ among those present).

Presumably, Bourbaki got invited to La Ciotat via Schwartz’ connection with Guérin in 1955, and there was a repeat-visit three years later.

But, where is that property of Daniel Guérin?

I would love to claim that it is La Villa Deroze, (sometimes called the small Medici villa in La Ciotat), named after Gilbert Deroze. From the website:

“Gilbert Deroze’s commitment to La Ciotat (he will be deputy mayor in 1947) is accompanied by a remarkable cultural openness. The house therefore becomes a place of hospitality and artistic and intellectual convergence. For example, it is the privileged place of reception for Daniel Guérin, French revolutionary writer, anti-colonialist, activist for homosexual emancipation, theoretician of libertarian communism, historian and art critic. But it also receives guests from the place that the latter had created nearby, the Maison Rustique Olivette, a real center of artistic residence which has benefited in particular from the presence of Chester Himes, Paul Célan, the “beat” poet Brion Gysin, or again of the young André Schwarz-Bart.”

Even though the Villa Deroze sometimes received guests of Guérin, this was not the case for Bourbaki as Schwartz emphasises that the congress took place in Guérin’s property near La Ciotat, which we now have identified as ‘Maison (or Villa) Rustique Olivette’.

From the French wikipedia entry on La Ciotat:

“In 1953 the writer Daniel Guérin created on the heights of La Ciotat, Traverses de la Haute Bertrandière, an artists’ residence in his property Rustique Olivette. In the 1950s, he notably received Chester Himes, André Schwartz-Bart, in 1957, who worked there on his book The Last of the Righteous, Paul Celan, Brion Gysin. Chester Himes returned there in 1966 and began writing his autobiography there.”

Okay, now we’re down from a village (La Ciotat) to a street (Traverses de la Haute Bertrandière), but which of these fabulous villas is ‘Maison Rustique Olivette’?

I found one link to a firm claiming to be located at the Villa Rustique Olivette, and giving as its address: 130, Traverses de la Haute Bertrandière.

If this information is correct, we have now identified the location of the two last Bourbaki congress in La Ciotat as ‘Maison Rustique Olivette’,

with coordinates 43.171122, 5.597150.

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Grothendieck’s haircut

Browsing through La Tribu (the internal report of Bourbaki-congresses), sometimes you’ll find an answer to a question you’d never ask?

Such as: “When did Grothendieck decide to change his looks?”

Photo on the left is from 1951 taken by Paulo Ribenboim, on a cycling tour to Pont-a-Mousson (between Nancy and Metz). The photo on the right is from 1965 taken by Karin Tate.

From La Tribu 43, the second Bourbaki-congress in Marlotte from October 6th-11th 1957:

“The congress gave an enthusiastic welcome to Yul Grothendieck, who arrived in his Khrushchev haircut, in order to enjoy more comfortably the shadow of the sputniks. Seized with jealousy, Dixmier and Samuel rushed to the local hairdresser, who was, alas, quite unable to imitate this masterpiece.”

This Marlotte-meeting was called ‘Congres de la deuxieme lune’, because at their first congress in Marlotte, the hotel-owner thought this group of scientists was preparing for a journey to the moon. Bourbaki was saddened to find out that ownership of the ‘Hotel de la mare aux fées’ changed over the two years between meetings, for He hoped to surprise her with a return visit just at the time the first Sputnik was launched (October 4th, 1957).

Given the fact that the 1957-summer Bourbaki-congress lasted until July 7th, and that most of the B’s may have bumped into G over the summer, I’d wager that the answer to this most important of questions is: late summer 1957.

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Le Guide Bourbaki : Royaumont

At least six Bourbaki-congresses were held in ‘Royaumont’:

  • La Tribu 18 : ‘Congres oecumenique du cocotier’, April 13th-25th 1949
  • La Tribu 22 : ‘Congres de la revanche du cocotier’, April 5th-17th 1950
  • La Tribu without number : ‘Congres de l’horizon’, October 8th-15th 1950
  • La Tribu 26 : ‘Congres croupion’, October 1st-9th 1951
  • La Tribu 31 : ‘Congres de la revelation du reglement’, JUne 6th-19th 1953
  • La Tribu 32 : ‘Congres du coryza’, October 2nd-9th 1953

All meetings were pre-1954, so the ACNB generously grants us all access to the corresponding Bourbaki Diktats. From Diktat 31:

“The next congress will be held at the Abbey of Royaumont, from Saturday June 6th (not from June 5th as planned) to Saturday June 20th.
We meet at 10 a.m., June 6 at the Gare du Nord before the ticket-check. Train to Viarmes (change at Monsoult at 10.35 a.m.). Do not bring a ticket: one couch can transport 4 delegates.
Bring the Bible according to the following distribution:
Cartan: livre IV. Dixmier: Alg. 3, livre VI. Godement: Alg.4-5, Top. 1-2. Koszul: Top. 5-6-7-8-9. Schwartz: Top. 10, Alg. 1-2. Serre: Top. 3-4, livre V. Weil: Alg. 6-7, Ens. R.”

Royaumont Abbey is a former Cistercian abbey, located near Asnières-sur-Oise in Val-d’Oise, approximately 30 km north of Paris, France.

How did Bourbaki end up in an abbey? From fr.wikipedia Abbaye de Royaumont:

In 1947, under the direction of Gilbert Gadoffre, Royaumont Abbey became the “International Cultural Center of Royaumont”, an alternative place to traditional French university institutions. During the 1950s and 1960s, the former abbey became a meeting place for intellectual and artistic circles on an international scale, with numerous seminars, symposiums and conferences under the name “Cercle culturel de Royaumont”. Among its illustrious visitors came Nathalie Sarraute, Eugène Ionesco, Alain Robbe-Grillet, Vladimir Jankélévitch, Mircea Eliade, Witold Gombrowicz, Francis Poulenc and Roger Caillois.

And… less illustrious, at least according to the French edition of Wikipedia, the Bourbaki-gang.

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Le Guide Bourbaki : Murol(s)

The preparations for the unique Bourbaki-congress in Murols, start already in La Tribu 32 (fall 1953). On page 3:

“Summer 54: To suit Phileas Chevalley, Sammy Fogg and eventual Mexicans and Colombians, this Congress will be held from August 17 to 30. Samuel will look for a hotel in Auvergne, but everyone is asked to also prospect the hotels in his region.”

One should recall that the ICM 1954 was held in Amsterdam from September 2nd-9th. It was convenient for Chevalley and Eilenberg (who were in the US) and for possible more foreigners to have Bourbaki’s summer congress just before the ICM.

(Of course, Phileas Fogg is the main character in Jules Verne’s Around the World in 80 days.)

A lot of people attended the Murols-meeting (La Tribu 34, ‘Congres super-oecumenique du frigidaire et des revetements troues’).

Apart from the regular crowd (Cartan, Chevalley, Delsarte, Dieudonne, Dixmier, Godement, Koszul, Sammy (=Eilenberg), Samuel, Schwartz, Serre and Weil), there was a guinea-pig (Serge Lang), an ‘efficiency expert’ (Saunders MacLane), two ‘foreign visitors’ (Hochschild and John Tate) and two ‘honorable foreign visitors’ (Iyanaga and Kosaku Yosida).

Probably because of this, extremely detailed travel instructions were given in La Tribu 33 (page 2):

“Next congress: will be held at the Hotel des Pins, in Murols (Puy-de-Dome) from August 17 to 30.
There is at least one night train departing from Paris, going to Clermont or Issoire, followed by a bus-ride to Murols; details will be given as soon as we know the summer schedules.
For motorized people not coming from the South by the N.9, nor from the West by the N.89: go to Clermont-Ferrand, leave it by the N.9 (route d’Issoire), turn right about 17 kms further (after the village of Veyre) to take the N.678 towards Champeix; in Champeix take (on the right) the N.496 (direction of St-Nectaire, Murols and Mont-Dore).
For those coming from the South by the N.9: turn left at Issoire to take the N.496 towards Campais, St-Nectaire, Murols. For those coming from the West by the N.89: leave it a little before Lequeille to take (on the right) the N.122, turn left 2 km further to take the N.496 towards Mont-Dore, the Chambon lake and Murols (road continuing towards Champeix and Issoire).”

If you follow this route on the map, you’ll know that the congress was not held in Murols (departement de l’Aveyron), but in Murol (departement du Puy-de-Dome).

This time we do not have to search long for the place of venue as Hotel des Pins a Murol is still in operation.

Note the terras on the first floor, and the impressive line of trees in front of the hotel.

At first I felt frustrated as I couldn’t figure out where this well-known photograph of the Murol-meeting was taken.

From left to right, Godement, Dieudonne, Weil, MacLane, and a smug looking Serre (he knew he would be awarded a Fields medal in a few days time).

Today it is impossible to have this view from the hotel-terras because of the trees in front. Still, the picture was taken from the terras, and the imposing building in the background is the late Turing Hotel in Murol.

Here’s a picture of it with the Hotel des Pins in the background.

We’ve encountered the Murol-congress before on this blog when trying to piece together the history of the Yoneda lemma (Iyanaga was Yoneda’s Ph.D. advisor, and probably on his advice MacLane met with Yoneda in the Gare du Nord to hear about his lemma).

On MacLane’s role as ‘efficiency expert’ we have this in La Tribu 34:

“Frightened by the disorder of the discussions, some members had brought a world-renowned efficiency expert from Chicago. This one, armed with a hammer, tried hard and with good humor, but without much result. He quickly realized that it was useless, and turned, successfully this time, to photography.”

As we’ve seen in Amboise and Pelvoux, Bourbaki likes to have His summer venues close to places of great sentimental value.

Murol is very close to Besse-et-Saint Anastaise, the place of the very first Bourbaki-meeting in 1935.

As always, this asks for a little pilgrimage. From La Tribu 34 (page 2):

“Despite the incessant rain, Bourbaki was attracted by the waters, and went to explore lots of Auvergnian lakes. Besse and its Lac Pavin were naturally entitled to a pilgrimage. Courageous founding-fathers and lower-members, braving the rain and fog, rushed across to the lake of Guery where their dripping pants aroused the suspicions of a bar maid, and beat the motorized elements there by several lengths. Others swam and rowed. Even the Japanese were entitled to their lake.”

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Le Guide Bourbaki : Pelvoux

Pelvoux is a former commune (now merged into Vallouise-Pelvoux) in the Hautes-Alpes department in the Provence-Alpes-Côte d’Azur region in southeastern France. No less than five summer-Bourbaki congresses took place in Pelvoux:

  • La Tribu 25 : Congres oecumenique de Pelvoux (June 25th – July 8th 1951)
  • La Tribu 28 : Congres de la motorisation de l’ane qui trotte (June 25th – July 8th 1952)
  • La Tribu 45 : Congres des hyperplans (June 25th – July 7th 1958)
  • La Tribu 48 : Congres de cerceau (June 25th – July 8th 1959)
  • La Tribu 51 : Congres un peu sec (June 25th – July 7th 1960)

Bourbaki’s Diktat of the 1951-meeting tells us:

“The 1951 Ecumenical Congress will be held at the Hotel d’Ailefroide, Pelvoux-le-Poet (Hautes Alpes), from June 25 at 10 a.m. to July 8 at 6 p.m. The recommended means of communication are:
A) The train, Briancon line, get off at Argentiers la Bessee then the bus, direct to the hotel.
B) plane, boat, helicopter
Please do not confuse the Hotel d’Ailefroide in Pelvoux-le-Poet with the locality of Ailefroide which is elsewhere.”

You can still book a stay at Le Chalet Hotel d’Ailefroide in Pelvoux, but we will see that this is not the place we are looking for.

From the history of the Rolland family in Ailefroide:

“In 1896, Jean, the older brother of our grandfather Pierre, built two hotels simultaneously: the Hôtel d’Ailefroide in the hamlet of Poêt, very close to our family home, and the Chalet Hôtel d’Ailefroide, very close to our chalet ‘le Saint Pierre’.”

The ‘Hôtel d’Ailefroide’ in Poêt no longer functions as hotel, but some old postcards of its circulate on the web:

To convince ourselves that this is really the place of venue of the Bourbaki-congresses, compare the balustrade of the terras, and the main entrance door of the Hotel to these two pictures taken at the 1951-conference:

(From left to right: Jacques Dixmier, Jean Dieudonne, Pierre Samuel, Andre Weil, Jean Delsarte, and partially hidden, Laurent Schwartz.)

(Laurent Schwartz before Bourbaki’s famous portable blackboard.)

We’ve seen that in Amboise, Bourbaki made pilgrimages to Chancay. When in Pelvoux, He made a pilgrimage towards Les Bans, where Herbrand fell to his death.

Jacques Herbrand was considered one of the greatest younger logicians and number-theorists when he fell to his death on july 27th 1931, only 23 years old, while mountain-climbing in the Massif des Ecrins.

He was awarded a Rockefeller fellowship that enabled him to study in Germany in 1931, first with John von Neumann in Berlin, then during June with Emil Artin in Hamburg, and finally with Emmy Noether in Göttingen.

Herbrand was a close friend of Andre Weil and, in particular, of Claude Chevalley. From Chevalley is the quote: “Jacques Herbrand would have hated Bourbaki”.

In the summer-vacation of 1931 he went mountain-climbing with a couple of friends in the French Alps. They set off from Le refuge de la Pilatte

and took the normal route to the south summit of “Les Bans” (the blue, followed by green track in the map below). A more detailed description of the route and its difficulties can be found here.

They did reach the summit, as illustrated by this classic picture of Herbrand (in the mddle) but the accident happened in the descent.



The French mathematical society has donated a commemorative plaque to the chapel of Notre Dame des Neiges in La Bérarde.

For much more information, see this excellent article by Mathouriste.

From La Tribu 25 (translated by Maurice Mashaal in Bourbaki, a secret society of mathematicians, page 108):

“In addition to the regime imposed by the High Commisions, a terrible schism threatens Bourbaki, that between the mountaineers and the couch potatoes. Faced with an alpine valley, one person is afraid of snow and makes a dash for the Tropics, another rebels against ‘these horrible mountains, enormous masses lacking formality and structure’, a third, motorized, is surprised by the insistence of the mountaineers to be driven to the bottom of each and every valley and abandons them to their sad fate. On the other hand, a delegation representing all ages and ranks sets off to survey glaciers and neves, defy crevasses and mountain sickness, and plant Bourbaki’s flag above Refuge Caron, at 3160 meters.”

Mashaal’s book also contains a picture (copyright Archives Association de N. Bourbaki) of the delegation of mountaineers, taken on Wednesday July 4th 1951, with the Barre des Ecrins in the background:



From left to right: Laurent Schwartz, Andre Weil, Pierre Cartier, Pierre Samuel, Jean-Pierre Serre, and their guide. Presumably, Terry Mirkil took the photograph.

Present at the congress were: Cartan, Delsarte, Dieudonne, Dixmier, Godement, Sammy, Samuel, Schwartz, Serre, Weil; the Foreign visitors : Hochschild, Borel,and Guinea pigs : Cartier and Mirkil.

I’ll let you figure out who Bourbaki’s couch potatoes were.

As we are on a mission to find all places of Bourbaki congresses in the 50ties, does the building of the ‘Hôtel d’Ailefroide’ in Pelvoux-le-Poêt still exists, and what is its exact location?

Coordinates: 44.853904, 6.492673.

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Le Guide Bourbaki : Amboise

Between 1955 and 1960 four Bourbaki congresses were held in Amboise, a small market town on the river Loire, and once home of the French royal court.

  • La Tribu 38, from March 11th-17th 1956, ‘Congres des trois angles plats’
  • La Tribu 40, fromOctober 7th-14th 1956, ‘Congres de l’intelligence peu commune’
  • La Tribu 41, from March 17th-24th 1957, ‘Congres du foncteur inflexible’
  • La Tribu 47, from March 7thh-14th 1959, ‘Congres “Chez mon cousin”‘

Seldom a congress-location was described in such detail. On page 1 of La Tribu 38 one reads:

‘The congress was held in Amboise from March 11th till March 17th 1956, in the salons de l’Hotel de la Breche, situated in the rue de Pocé, between the railway station and the bridge.’



Hotel de la Breche, Amboise in 1956 (Photo from Bourbaki et la Touraine by Jacques Borowczyk)

Today, there is no rue de Pocé in Amboise, but the Hotel de la Breche still exists, the restaurant run by a father-daughter combo as chefs. Its address is 26, Rue Jules Ferry, Rive Droite, 37400 Amboise. The Rue Jules Ferry goes from the centre of Amboise in the direction of nearby Pocé-sur-Cisse so it may have been named Rue de Pocé in the 50ties. It definitely is the same Hotel.

In this period several of the Bourbaki-members obtained prestigious positions at Institutes and Universities, resulting in some banter in La Tribu.

In La Tribu 38 page 2 the expulsion is threatened of all members which are not ‘Professors of the first rank’.

“In the meantime, the regulations have been supplemented by articles making it compulsory to wear a broken collar and a tie, the use of the word ‘Monsieur’ when speaking of the undisputed leaders of La Sorbonne and the College, formal address will be compulsory between members, and the guinea pigs will use the third person to address their elders.”

Recall that Jean-Pierre Serre received the Fields medal at age 27 in 1954, and was nominated in 1956 as the youngest Professor of the Collège de France (chair of algebra and geometry).

Claude Chevalley had a difficult time after WW2 to get a position at a French university as he stayed in the US when war broke out. Eventually his friends managed to create a chair for him at La Sorbonne in 1957 (chair of analytic geometry and group theory). (see here for a list of all chairs in mathematics over the years).

From La Tribu 47 page 2:

“Inspired by his writings on Logic, Bourbaki wondered if the system of axioms formed by the Motchane Institute, the Princeton Institute, the College, Polytechnique and the little Sorbonne is compatible; it seems that we are on the way to an affirmative answer thanks to the work of various congressmen whom La Tribu does not want to name.”

Here, ‘l’Institut Motchane’ if of course the IHES, which was founded in 1958 by businessman and mathematical physicist Léon Motchane, with the help of Robert Oppenheimer and Jean Dieudonné, who would become the first permanent professor. Dieudonne accepted the position only after Grothendieck was also offered a position.

L’Institut de Princeton is the Institute for Advanced Studies where Andre Weil obtained a permanent position in 1958. We saw already that ‘College’ means Serre, and ‘Sorbonne’ Chevalley.

Amboise is not far from Chancay where the second and third pre-WW2 Bourbaki-conferences were held, at the estate of the parents of Chevalley in La Massotterie, where this iconic picture was taken.

During at least three of the four meetings in Amboise a pilgrimage to Chancay was organised.

In La Tribu 38 on page 2:

“A pilgrimage to Chancy gives rise to a great sponging session. Some will regret that there was no cellar visit session.”

In La Tribu 40 on page 2:

“We find all the same the strength and the courage to go to Chancay to taste white wine, and meditate on the sheaves of germs of carrots.”

Finally, in La Tribu 47 on page 2:

“Accompanied by a plumber, the Congress made a pilgrimage to Chancay; he finds that the pipes were not leaking excessively, and that the tap at Vouvray was even working very well.”

Note that Vouvray is an ‘appellation d’origine contrôlée’ of white wines produced around the village Vouvray, so all white wines from Chancay are Vouvray-wines.

The first few pages of most La Tribu-issues are full of these tiny tidbits of French knowledge. Perhaps I should start another series ‘La Tribu Trivia’?

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Le Guide Bourbaki : Sallieres-les-bains

For three summers in a row, Bourbaki held its congres in ‘Sallieres-les-bains’, located near Die, in the Drôme.

  • La Tribu 36, from June 27th till July 9th 1955
  • La Tribu 39, from June 24th till July 7th 1956, ‘Congres des Tapis’
  • La Tribu 42, from June 23rd till July 7th 1957, ‘Congres oecumenique du diabolo’

There are several ways to determine the exact location of a Bourbaki congres.

The quickest one is to get hold of the corresponding Diktat which often not only gives the address, but also travel instructions on how to get there. But strangely, no Diktats for congresses after 1953 are cleared by the ACNB.

Next, one can look in the previous La Tribu issue, as it contains a section on the next congres. In La Tribu 35 we find on page 2 : “Next congres : from June 25th till July 6th, in a location to be determined”. La Tribu 38 on page 5 reads (rough translation)

Next congres : will be held around the usual dates (June 23rd till July 7th, with a margin of 2 or 3 days). To facilitate things for Borel and Weil, Koko (=Koszul) will quickly look for a pleasant place in the Vosges or l’Alsace region. If this fails, he’ll immediately warn Cartan who will then take care of Die.

La Tribu 41 mentions on page 6: next congress will be held in Die from June 23rd till July 7th.

Finally, it may be that La Tribu itself gives more details. Strangely, La Tribu 36 is not among the issues recently cleared by the ACNB.

We know of its existence from Kromer’s paper La Machine de Grothendieck, and from a letter from Serre to Grothendieck from July 13th 1955 in which he writes that the Bourbaki congres in Sallieres-les-bains went well and that Grothendieck’s paper on Homological algebra (now known as the Tohoku-paper) was carefully read and converted everyone (‘even Dieudonne, who seems completely functorised’).

In La Tribu 39 we immediately strike gold, the heading tells us that the congres was held in the ‘Etablissement Thermo-resineux de Sallieres les bains’.

But, if you google for this, all you get are some pretty old postcards, such as this one

with one exception, a site set up to save the chapel of the Thermes de Sallieres-les-bains, which gives some historical information (google-translated):

“In Die, in the middle of the 19th century, the thermo-resinous establishments of Salières-les-bains opened. Until 1972, i.e. for 120 years, spa guests came there every summer to treat their bronchial tubes and rheumatism with the vapours of mugho pine. The center of Die and its cathedral being 4km away, it is in this 51m² chapel that the curists gathered. Mass was even sometimes said there because a priest was regularly among the spa guests. But after the closure, the small family farm can no longer maintain all the large buildings of the inn and their chapel, whose roof has now collapsed…”

And, there is the book Des bains de vapeurs térébenthinés aux pastilles de Pin mugho by Cécile Raynal, containing a short paragraph on the installation in Sallieres: (G-translate)

“Located a short distance from Martouret, this hydro-mineral establishment was created by a breeder, owner of the Sallieres estate, Mr. Taillotte. He equipped himself with facilities for resinous baths and also used hydrotherapy. More especially frequented by the patients of the surroundings, under the supervision of Dr. Magnan, a doctor from Die, the establishment charged moderate prices and functioned only in the summer. The installations would have lasted until the 1970s.”

So, it is perfectly possible that the Bourbakis stayed here in the mid 50ties. But, how did they know of this place and what’s the link with Cartan?

If you look at the map (Sallieres is the red marker) you’ll find in the immediate neighborhood the former Abbey of Valcroissant (for the Dome du Glandasse read La Tribu 42, page2)

“The abbey was bought in the 1950s by the mathematician and philosopher Marcel Légaut and his wife, who chose to restore it while maintaining agricultural activity, particularly livestock. The restoration led in particular to the classification of the abbey in the inventory of historical monuments, a classification which took place on October 25, 1971. The restoration continued in the 21st century, led by Rémy Légaut, son of Marcel, his wife Martine, and the association of “Friends of Valcroissant” created by André Pitte and Serge Durand.”

Marcel Legaut was a very interesting person, who did a Grothendieck avant-la-lettre. From wikipedia

“Marcel Légaut was born in Paris, where he received his Ph.D. in Mathematics from the École Normale Supérieure in 1925. He taught in various faculties (among them Rennes and Lyon) until 1943. Under the impact of the Second World War and the rapid French defeat in 1940, Légaut acknowledged the lack of certain fundamental aspects in his life as well as in the lives of other university professors and civil servants. That is why he tried to alternate teaching with farm work. After three years his project was no longer accepted and he left the University to live as a shepherd in the Pré-Alpes (Haut-Diois).”

Legaut also wrote about twenty books on catholic faith. Again from wikipedia (and compare to Grothendieck’s later years):

“Légaut offers, in his books, his meditation, his testimony and his prayer, resulting from the intimate conversation he holds with himself, with his friends and with God. Meditation, testimony and prayer are, in every human being, the three categories corresponding to the different destinataries of intimate “conversation”, which is, in short, the sort of communication that every spiritual life aims to achieve according to its deep instinct.”

Marcel Legaut is also one of the 24 ‘mutants’ in Grothendieck’s Clef des songes. Is it possible the two met during the Bourbaki congres in Sallieres-les-bains?

In this article on Legaut there’s this recollection by Pierre Cartier:

“Pierre Cartier believes that Grothendieck and Légaut had already met in the fifties, on the occasion of a Bourbaki meeting which took place in the Alps in Pelvoux-le Poët. Légaut, who lived at no great distance, was acquainted with Henri Cartan, André Weil and other members of Bourbaki. Cartier remembers that he himself visited Légaut at the time, and recalls Légaut actually attending the Bourbaki meeting.”

I beg to differ on the place of the Bourbaki meeting, I’m convinced it was during a congres in Sallieres-les-bains. We now also see the link with Cartan. Probably it was Legaut who mentioned the nearby wellness-center to Cartan.

Do the buildings of the ‘Etablissement Thermo-resineux de Sallieres les bains’ still exist, and what is their exact location?

If you intend to go on a little pelgrimage, point your GPS to 44.737347, 5.398835. Perhaps you can stay for a few days in the renovated Abbaye de Valcroissant, they offer courses in herbal medicine, aromatherapy and natural cosmetics, which are organised from March to November.

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Le Guide Bourbaki : Marlotte

During the 1950ties, the Bourbakistas usually scheduled three meetings in the countryside. In the spring and autumn at places not too far from Paris (Royaumont, Celles-sur-plaines, Marlotte, Amboise…), in the summer they often went to the mountains (Pelvoux, Murols, Sallieres-les-bains,…).

Being a bit autistic, they preferred to return to the same places, rather than to explore new ones: Royaumont (6 times), Pelvoux (5 times), Celles-sur-plaine (4 times), Marlotte (3 times), Amboise (3 times),…

In the past, we’ve tried to pinpoint the exact locations of the pre-WW2 Bourbaki-conferences: in 1935 at le Station Biologique de l’Université Blaise Pascal’, Rue du Lavoir, Besse-et-Saint-Anastaise, in 1936 and 1937 at La Massotterie in Chancay, and in 1938 at l’ecole de Beauvallon (often mistakingly referred to as the ‘Dieulefit-meeting’).

Let’s try to do the same for their conferences in the 1950ties. Making use of the recent La Tribu releases for he period 1953-1960, let’s start arbitrarily with the 1955 fall meeting in Marlotte.

Three conferences were organised in Marlotte during that period:

  • La Tribu 37 : ‘Congres de la lune’, October 23-29 1955
  • La Tribu 43 : ‘Congres de la deuxieme lune’, October 6-11 1957
  • La Tribu 44 : ‘Congres des minutes de silence’, March 16-22 1958

Grothendieck was present at all three meetings, Weil at the last two. But let us return to the fight between these two (‘congres des minutes de silence’) regarding algebraic geometry/category theory in another post.

Today we’ll just focus on the location of these meetings. At first, this looks an easy enough task as on the opening page of La Tribu we read:

“The conference was held at the Hotel de la mare aux canards’ (‘Hotel of the duck pond’) in Marlotte, near Fontainebleau, from October 23rd till 29th, 1955”.

Just one little problem, I can’t find any reference to a ‘Hotel de la Mare aux Canards’ in Marlotte, neither at present nor in the past.

Nowadays, Bourron-Marlotte is mainly a residential village with no great need for lodgings, apart from a few ‘gites’ and a plush hotel in the local ‘chateau’.

At the end of the 19th century though, there was an influx of painters, attracted by the artistic ‘colonie’ in the village, and they needed a place to sleep, and gradually several ‘Auberges’ and Hotels opened their doors.

Over the years, most of these hotels were demolished, or converted to family houses. The best list of former hotels in Marlotte, and their subsequent fate, I could find is L’essor hôtelier de Bourron et de Marlotte.

There’s no mention of any ‘Hotel de la mare aux canards’, but there was a ‘Hotel de la mare aux fées’ (Hotel of the fairy pond), which sadly was demolished in the 1970ties.



There’s little doubt that this is indeed the location of Bourbaki’s Marlotte-meetings, as the text on page one of La Tribu 37 above continues as (translation by Maurice Mashaal in ‘Bourbaki a secret society of mathematicians’, page 109):

“Modest and subdued sunlight, lustrous bronze leaves fluttering in the wind, a pond without fairies, modules without end, indigestible stones, and pierced barrels: everything contributes to the drowsiness of these blasé believers. ‘Yet they are serious’, says the hotel-keeper, ‘I don’t know what they are doing with all those stones, but they’re working hard. Maybe they’re preparing for a journey to the moon’.”

Bourbaki didn’t see any fairies in the pond, only ducks, so for Him it was the Hotel of the duck pond.

In fact La mare aux fées is one of the best known spots in the forest of Fontainebleau, and has been an inspiration for many painters, including Pierre-August Renoir:

Here’s the al fresco restaurant of the Hotel de la mare aux fées:

Both photographs are from the beginning of the 20th century, but also in the 50ties it was a Hotel of some renown as celebreties, including the actor Jean Gabin, stayed there.

The exact location of the former Hotel de la mare aux fées is 83, Rue Murger in Bourron-Marlotte.

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