Occasionally, I have conversations with mathematicians who take the name
Bourbaki in vain, insinuating that the work of this great *mathematician*
had led the development of 20th-century mathematics astray. I wish to take a
minute here to appreciate the works of Weil, Grothendieck, Borel, Eilenberg,
MacLane*, Tate, Cartan, Serre, Thom, Dieudonné, and others without whom we
would not have certain important answers to the Riemann hypothesis, such
developed theories of modular forms and elliptic curves, such a rich body of
work in cohomology, topos theory, category theory, or the promise of a
mathematical GUT in the form of Langland's program.
Below are some links that are mostly related to Weil's conjectures, elliptic
curves, and the wonderful work being done to bring number theory,
representation theory, harmonic analysis, and algebraic geometry together.
When I get bogged down with the dumpster fire that is politics or any other
slow-motion car crash in this world, I am happy to be reminded that there
exist truly beautiful things. Enjoy!
Tim Gower's on the Weil conjectures:
https://www.youtube.com/watch?v=PHkYqPX3Je4&ab_channel=TheAbelPrizeAndrew Wiles Abel prize lecture on abelian and non-abelian approaches to
Fermat's last:
https://www.youtube.com/watch?v=4t1mgEBx1nQ&ab_channel=TheAbelPrizeEdward Frenkel on Langlands Program as GUT:
https://www.youtube.com/watch?v=b8e_HMEwKIY&ab_channel=TheAbelPrizeAbel prize interview with Pierre Deligne:
https://www.youtube.com/watch?v=MkNf00Ut2TQ&ab_channel=TheAbelPrize--
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