Raoul Bott: Difference between revisions

13,739 bytes added ,  Yesterday at 04:48
no edit summary
No edit summary
No edit summary
 
Line 1: Line 1:
{{stub}}
[[File:Dror-Bar-Natan-Eric-Weinstein-Raoul-Bott.jpg|thumb|Dror Bar-Natan, Eric Weinstein, and Raoul Bott]]
 
=== 2009 ===
 
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/3444659121
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=An issue would then be whether Elliptic cohomology is a k-theoretic refinement requiring an extension of tensor products using exceptionals.
|thread=
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/3441646817
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=What is known about the large exceptional Lie groups and geometric models of various elliptic cohomology theories?
|timestamp=2:48 AM · Aug 21, 2009
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/3444564843
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=One way of looking at [[Raoul Bott|Bott Periodicity]] is that tensor operations between non-octal division algebras close leaving Cayleys as a remainder.
|timestamp=5:52 AM · Aug 21, 2009
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/3444590487
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=Then the issue becomes "can we do anything with tensor products involving Octonians?" which seems to be the Raison d'ĂȘtre for F4, E6-8.
|timestamp=5:54 AM · Aug 21, 2009
}}
|timestamp=6:00 AM · Aug 21, 2009
}}
 
=== 2016 ===
 
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/769564452941246464
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=So let me finally say it: my thanks 2 @drorbarnatan & the late Raoul Bott, for heroically saving me & my PhD from my own university 20y ago.
|thread=
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/769554549916839936
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=I read about great mathematical lineages & get sad. I don't know other selfadvised PhDs. Something wants to belong.
 
https://www.nature.com/articles/nature.2016.20491#/b1
|timestamp=3:17 PM · Aug 27, 2016
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/769556322215800832
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=The great Harvard mathematician Raoul Bott lent me his name as advisor as a mensch lends a surname to a bastard. I didn't know 2 say thanks.
|timestamp=3:24 PM · Aug 27, 2016
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/769561474280804352
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=Because I view my needing a PhD as a sign of my own weakness, I have not yet been able to say "Thank You" to the 2 brave men who stood 4 me.
|timestamp=3:45 PM · Aug 27, 2016
}}
|timestamp=3:57 PM · Aug 27, 2016
}}
 
=== 2019 ===
 
 
{{Tweet
|image=SheerPriya-profile-wHkPqHYU.jpg
|nameurl=https://x.com/SheerPriya/status/1084147220281217024
|name=Priyamvada Natarajan
|usernameurl=https://x.com/SheerPriya
|username=SheerPriya
|content=More recently we talked about dark matter and black holes (2 yrs ago now) he was very excited about astro... b4 when i was a student he was just very encouraging and warm
|thread=
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084114873376591874
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=One of the world’s greatest men has died. Most of you will have no idea who this is. I just don’t know how to bridge that gap yet to tell you what he did.
 
I was very close with his top collaborator. They were the [[Jim Watson|Watson]] and [[Francis Crick|Crick]] of mathematics to me. They rewrote my whole life.
|quote=
{{Tweet
|image=royalsociety-profile-9IULx885.jpg
|nameurl=https://x.com/royalsociety/status/1083772505934970881
|name=The Royal Society
|usernameurl=https://x.com/royalsociety
|username=royalsociety
|content=[[Michael Atiyah|Michael Atiyah OM FRS]], President of the Royal Society 1990 -1995, died today. He was "a wonderful person who was a true internationalist and a fervent supporter for investing in talent – themes which resonate very clearly today." Read the full tribute https://royalsociety.org/news/2019/01/tribute-to-former-president-of-the-royal-society-sir-michael-atiyah/
|media1=royalsociety-X-post-1083772505934970881-DwpTCTzW0AEJifI.jpg
|timestamp=3:48 PM · Jan 12, 2019
}}
|timestamp=3:48 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084127025521033226
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=There is a little known stone wall on Long Island. While flawed, it is a gift to all mankind that should be a pilgrimage site, as an understanding of the contents is nesessary to understand our world. Think of it as transcendent graffiti. Atiyah‘s spray-paint is everywhere here.
|timestamp=4:36 PM · Jan 12, 2019
|media1=ERW-X-post-1084127025521033226-DwuXvoOUUAA_X-J.jpg
|media2=ERW-X-post-1084127025521033226-DwuXvoPUwAEX3Ly.jpg
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084132802721804288
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=Imagine watery planets with holes and twists. Knotted donut planets  called base spaces. Crazy oceans called “Vector bundles” and “Principal bundles”.
 
He told us about how the twists and holes determine what waves must live on them and which cannot.
 
{{#widget:YouTube|id=rNyngHqnwxE}}
|timestamp=4:59 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084133772033810437
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=He helped direct [[Ed Witten]] and Graeme Segal to truly tell us what [[Quantum Field Theory]] really was beyond being a physical theory. These men took a grab bag of techniques developed for calculation and showed us that they were a mellifluous whole of geometry, topology and physics.
|timestamp=5:03 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084134696127160321
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=If you want to know why I am so passionate about resisting the reign of terror against true scholarship it is this. Universities housed REAL scholarship beyond your wildest dreams. This kind of scholarship is not socially constructed. Almost no one can even do this level of work.
|timestamp=5:07 PM · Jan 12, 2019
}}
{{Tweet
|image=Default_profile_400x400.png
|nameurl=https://x.com/MathPrinceps/status/1084127799437230080
|name=Laurens Gunnarsen
|usernameurl=https://x.com/MathPrinceps
|username=MathPrinceps
|content=I completely agree with your assessment of the magnitude of the world's loss here.  But who, in your view, was Atiyah's "top collaborator"? Bott, perhaps? Singer? Someone else? He shared credit with a large number of co-workers in his published work. (I'd vote for Bott, myself.)
|timestamp=4:39 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084129282887045121
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=@MathPrinceps I knew [[Raoul Bott|Bott]] and [[Isadore Singer|Singer]] very well, but it was still not even close to me. I won’t say more here just now. You will also notice that Bott and Singer never collaborated despite being one zip code away from each other in Massachusetts Ave in Cambridge MA. Towering giants all.
|timestamp=4:45 PM · Jan 12, 2019
}}
{{Tweet
|image=Default_profile_400x400.png
|nameurl=https://x.com/MathPrinceps/status/1084129513133432832
|name=Laurens Gunnarsen
|usernameurl=https://x.com/MathPrinceps
|username=MathPrinceps
|content=I knew Bott and Singer pretty well myself, and I agree that it's not even close.
|timestamp=4:39 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084135908989784064
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=What a lunch we could have. Would love to hear your perspective.
|timestamp=5:11 PM · Jan 12, 2019
}}
{{Tweet
|image=Default_profile_400x400.png
|nameurl=https://x.com/MathPrinceps/status/1084136705089712128
|name=Laurens Gunnarsen
|usernameurl=https://x.com/MathPrinceps
|username=MathPrinceps
|content=They were such extraordinary persons, and their influence on me was exceeded only by that of Chern. I miss them all more than I can say. And perhaps we should indeed have lunch. Pretty sure we'd both enjoy it.
|timestamp=5:15 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084139307034542080
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=Are you anywhere near SF? I gotta hear your argument for Atiyah [[Raoul Bott|Bott]]. The main flaw on that wall IMO is the absence of [[Raoul Bott|Bott Periodicity]]. Other issues: Tits Freudenthal, the main Elliptic Deformation Complexes,  Hopf Fibration, etc..
 
But Bott Periodicity is beyond mind blowing.
|timestamp=5:25 PM · Jan 12, 2019
}}
{{Tweet
|image=Default_profile_400x400.png
|nameurl=https://x.com/MathPrinceps/status/1084140379195113472
|name=Laurens Gunnarsen
|usernameurl=https://x.com/MathPrinceps
|username=MathPrinceps
|content=Yes, I reside in Mountain View, and get up to SF with some frequency. And I don't mean to make an argument for Atiyah-Bott, exactly; it's more of a feeling, born mostly of personal observation, that Atiyah-Bott had a much deeper aesthetic affinity than did Atiyah-Singer (say.)
|timestamp=5:29 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084129583610253313
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=@BraneRunner @MathPrinceps Some would put it higher.
|timestamp=4:46 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084133772033810437
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=He helped direct [[Ed Witten]] and Graeme Segal to truly tell us what [[Quantum Field Theory]] really was beyond being a physical theory. These men took a grab bag of techniques developed for calculation and showed us that they were a mellifluous whole of geometry, topology and physics.
|timestamp=5:03 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084134696127160321
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=If you want to know why I am so passionate about resisting the reign of terror against true scholarship it is this. Universities housed REAL scholarship beyond your wildest dreams. This kind of scholarship is not socially constructed. Almost no one can even do this level of work.
|timestamp=5:07 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084139921558855685
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=@vanest SUNY Stony Brook, Simons Center for Geometry and Physics. It’s blocked partially by a staircase now.
|timestamp=5:27 PM · Jan 12, 2019
}}
{{Tweet
|image=SheerPriya-profile-wHkPqHYU.jpg
|nameurl=https://x.com/SheerPriya/status/1084144900315275265
|name=Priyamvada Natarajan
|usernameurl=https://x.com/SheerPriya
|username=SheerPriya
|content=Very sad news indeed - I knew Michael from when I was at @TrinCollCam he was brilliant, warm & amazing. Was at a conference where he was supposed to speak on thursday #higgscentre - he cancelled at the last minute....
|timestamp=5:47 PM · Jan 12, 2019
}}
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1084146455093248000
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=Wow. Did you guys ever talk shop? I have to admit I didn’t always get the most out of him 1 on 1. [[Isadore Singer|Singer]] and [[Raoul Bott|Bott]] were much clearer. [[Michael Atiyah|Atiyah]] and [[Ed Witten|Witten]] tended to tell you something related to whatever you asked but often not in a dialogue. More like a juke box of answers.
|timestamp=5:53 PM · Jan 12, 2019
}}
|timestamp=5:56 PM · Jan 12, 2019
}}
 
 
=== 2020 ===


{{Tweet
{{Tweet
Line 123: Line 405:
}}
}}


=== 2021 ===


{{Tweet
{{Tweet
Line 261: Line 544:
}}
}}


=== 2022 ===
{{Tweet
|image=Eric profile picture.jpg
|nameurl=https://x.com/EricRWeinstein/status/1608275219281502210
|name=Eric Weinstein
|usernameurl=https://x.com/EricRWeinstein
|username=EricRWeinstein
|content=@anisomorphism @Javlaskitstovel Sure it starts with [[Raoul Bott|Bott]] & Tu. With a little May. Before you know it? You’re. hitting the harder stuff. Hartshorne leads to EGA & SGA. Next? They find you in a gutter, begging to do even just a little of Jackson’s E&M to make the withdrawal symptoms go away.
Even for a moment

|timestamp=1:34 AM · Dec 29, 2022
}}
{{stub}}
== Related Pages ==
* [[Isadore Singer]]


[[Category:Mathematics]]
[[Category:Mathematics]]