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Mar 5, 2022 at 11:47 vote accept sno
Mar 5, 2022 at 11:47
Mar 5, 2022 at 11:46 vote accept sno
Mar 5, 2022 at 11:46
Mar 5, 2022 at 11:46 vote accept sno
Mar 5, 2022 at 11:46
Mar 4, 2022 at 17:17 comment added Zach Teitler Is there still a question to be answered? Right now, the question posed is of the form "what have they said..." and in the body of the question itself is a transcription of the relevant portion of the interview. The answers also include more than one translation and summary. So is there more still to be answered? If not, would it be asking too much for the OP to accept one of the answers?
Mar 4, 2022 at 13:22 answer added Gavin Wraith timeline score: 13
Mar 4, 2022 at 11:34 answer added Sam Sanders timeline score: 9
Feb 25, 2022 at 7:31 comment added Monroe Eskew Isn’t this persecution complex quite common among pure mathematicians?
Feb 25, 2022 at 6:26 answer added Denise Chemla timeline score: 6
Feb 21, 2022 at 15:16 review Close votes
Feb 26, 2022 at 3:04
Feb 20, 2022 at 16:46 comment added YCor I've added a transcription of the relevant extract of the France Culture (= public French radio) podcast.
Feb 20, 2022 at 14:53 history edited YCor CC BY-SA 4.0
added transcription of the interview
Feb 20, 2022 at 11:31 history reopened François G. Dorais
sno
François Brunault
Leo Alonso
Alec Rhea
Feb 20, 2022 at 0:00 comment added Zhen Lin @sno I feel there is no hostility toward topos theory per se – maybe indifference at worst, and maybe not so different from what mathematical logic and general category theory face. Nor, I think, is there hostility toward topos theorists in general. But Olivia has been making grand claims for over a decade now, and if I may be frank, she has been very brash about it from the beginning. I think it would be good if you (or future readers with the same question) have a look at the old thread François G. Dorais linked above.
Feb 19, 2022 at 22:04 comment added François Brunault Here is a twitter thread (in French) with some quotations of the guests.
Feb 19, 2022 at 18:15 comment added YCor These include serious accusations on a public media about the mathematical community in general. For this reason it should be possible to answer it (confirm, deny, discuss...), and therefore I believe the question should be reopened (possibly including more quotations, notably of the podcast?)
Feb 19, 2022 at 18:12 comment added YCor I've reedited the title to avoid any premises. I changed it to "Interview of Connes, Caramello, and L. Lafforgue about topos theory". The question includes now premises but in a quoted mode, which seems fine.
Feb 19, 2022 at 18:11 history edited YCor CC BY-SA 4.0
made title more generic to avoid questionable premises
S Feb 19, 2022 at 15:02 review Reopen votes
Feb 20, 2022 at 11:31
S Feb 19, 2022 at 15:02 history edited sno CC BY-SA 4.0
added 1 character in body; edited title Added to review
Feb 19, 2022 at 14:50 history closed Ryan Budney
abx
Fernando Muro
Friedrich Knop
Andy Putman
Opinion-based
Feb 19, 2022 at 11:59 history edited Rodrigo de Azevedo CC BY-SA 4.0
added 11 characters in body
Feb 19, 2022 at 11:25 comment added François G. Dorais See also: mathoverflow.net/questions/29232/…
Feb 19, 2022 at 8:29 history became hot network question
Feb 19, 2022 at 8:21 comment added François Brunault The title of the question is inaccurate, Connes did not say that in the interview (see the rough contents in the answer below).
Feb 19, 2022 at 1:51 answer added Tim Campion timeline score: 27
Feb 19, 2022 at 0:33 comment added Timothy Chow If we interpret the question literally and narrowly ("what do they mean?") then I would think that the best way to answer it is to listen carefully to the podcast in question. Someone whose French is better than mine can perhaps summarize what they say toward the end of that podcast.
Feb 19, 2022 at 0:20 review Close votes
Feb 19, 2022 at 14:50
Feb 18, 2022 at 22:47 history reopened Peter LeFanu Lumsdaine
D.-C. Cisinski
Dag Oskar Madsen
Emil Jeřábek
Zhen Lin
Feb 18, 2022 at 19:11 comment added Ryan Budney IMO rather than just vote to reopen, it might be more appropriate to create a meta thread on this topic. I don't think I have much to add to this specific discussion but you could replace topos theory with a lot of other recent-ish ideas that hope to be seen as "foundational" and you'll encounter the exact same discussion, one generation after another. There are some useful things to discuss here, but I'm not certain if people really want to have them on MO, as they're more sociological in nature.
Feb 18, 2022 at 18:50 comment added Sam Hopkins @YemonChoi: in context the remark is about avoiding 'useless abstraction.' Here is the full quote: "Our general approach will be as follows. I will try to tell you what you need to know, and no more. (This I promise: if I use the word “topoi”, you can shoot me.)" (pg. 23 of math.stanford.edu/~vakil/216blog/FOAGnov1817public.pdf)
Feb 18, 2022 at 18:45 comment added Yemon Choi @SamHopkins Is that antipathy to the concept or to the declension?
Feb 18, 2022 at 18:07 history edited YCor
edited tags
Feb 18, 2022 at 17:42 comment added Sam Hopkins One point of reference: in Ravi Vakil’s notes on algebraic geometry (“Rising Sea”) in the introduction he promises that you can “shoot him” if he ever uses the word topoi.
Feb 18, 2022 at 16:33 history edited Peter LeFanu Lumsdaine CC BY-SA 4.0
edited title to reflect OP’s edit to the body
Feb 18, 2022 at 16:24 comment added Peter LeFanu Lumsdaine @LSpice: Because they’ve spoken and written extensively on the topic. A few years ago I could have written a reasonably confident answer — now I’d have to do a bit of catching up on their recent work, but someone who’s been following them more recently may very well be able to summarise what they’ve said on the topic.
Feb 18, 2022 at 16:10 comment added LSpice @JasonStarr's objection seems to apply even to the re-phrased question—how would we know what they meant?
Feb 18, 2022 at 15:45 comment added sno @Peter LeFanu Lumsdaine I've edited the question accordingly.
S Feb 18, 2022 at 15:44 review Reopen votes
Feb 18, 2022 at 22:47
S Feb 18, 2022 at 15:44 history edited sno CC BY-SA 4.0
added 24 characters in body Added to review
Feb 18, 2022 at 15:40 history closed John Wiltshire-Gordon
Zhen Lin
Peter LeFanu Lumsdaine
Vitali Kapovitch
Mike Shulman
Opinion-based
Feb 18, 2022 at 15:39 comment added Peter LeFanu Lumsdaine The current phrasing is extremely unsuitable for MO — very subjective and open-ended, and invites disagreement from the start by presenting a very debatable claim (“topos theory is not taken seriously”) as an assumed truth. But it could be edited into something much more answerable and less controversial, as something like “What do Connes, Caramello and Lafforgue mean when they say that topos theory is not taken seriously?” — then anyone who’s been following the CCL work and debate can give an informed summary, without having to take a stance on how much they agree.
Feb 18, 2022 at 15:18 comment added Jason Starr How can the MO community know why those three mathematicians feel topos theory is not taken seriously?
Feb 18, 2022 at 15:10 answer added Carlo Beenakker timeline score: -3
Feb 18, 2022 at 15:05 review Close votes
Feb 18, 2022 at 15:46
Feb 18, 2022 at 14:40 history asked sno CC BY-SA 4.0