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for questions about motives in algebraic geometry, including constructions of categories of motives and motivic sheaves, and aspects of the standard conjectures.
33
votes
What is the proper initiation to the theory of motives for a new student of algebraic geometry?
Problem-solving (i): Assume enough about a good category of motives and you get a conditional proof of the Weil conjectures. … Motives can "catch" enough algebraic cycles to do this. …
3
votes
The historical development of automorphic geometry
Interesting take, but a bit hard to make into proper history, I should think.
Start with the idea that, post-Gauss, 19th century mathematics was mainly not about number theory. This could be hard to …