An invitation to motivic sheaves (part 1)
Adeel Khan (Academia Sinica)
Abstract: These lectures will be an introduction to Voevodsky's theory of motivic sheaves. In the first lecture we will try to understand what the theory is supposed to look like, according to Beilinson's 1985 conjectures. To better appreciate these we will briefly review some of the ideas that influenced him, such as Grothendieck's theory of pure motives and Deligne's theory of mixed Hodge structures (i.e., why motives?), and the six functor formalism on l-adic sheaves (i.e., why sheaves?). In the second lecture, we will begin looking into Voevodsky's work on actually constructing categories of motivic sheaves, as well as the connection with invariants like Chow groups and algebraic K-theory.
Despite the seemingly forbidding nature of the topic, these lectures are intended for an audience with familiarity with basic algebraic geometry, but no familiarity with any of the advanced topics being addressed.
The synchronous discussion for Adeel Khan’s talk is taking place not in zoom-chat, but at tinyurl.com/2022-09-09-ak (and will be deleted after ~2 weeks).
Audience: researchers in the topic
Series comments: This seminar requires both advance registration, and a password. Register at stanford.zoom.us/meeting/register/tJEvcOuprz8vHtbL2_TTgZzr-_UhGvnr1EGv Password: 362880
If you have registered once, you are always registered for the seminar, and can join any future talk using the link you receive by email. If you lose the link, feel free to reregister. This might work too: stanford.zoom.us/j/95272114542
More seminar information (including slides and videos, when available): agstanford.com
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