Arithmetic representations on generic curves

Aaron Landesman (MIT)

14-Oct-2022, 20:00-21:00 (17 months ago)

Abstract: Over the last century, the Hodge and Tate conjectures have inspired much activity in algebraic and arithmetic geometry. These conjectures give predictions for when certain topological objects come from geometry. Simpson and Fontaine-Mazur introduced non-abelian analogs of these conjectures. In joint work with Daniel Litt, we prove these analogs for low rank local systems on generic curves, resolving conjectures of Esnault-Kerz and Budur-Wang as well as answering questions of Kisin and Whang.

number theory

Audience: researchers in the topic


University of Arizona Algebra and Number Theory Seminar

Organizers: Aparna Upadhyay*, Pan Yan*
*contact for this listing

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