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Algebra and Geometry Seminar

Monday, November 8, 2021
4:00pm to 5:00pm
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Linde Hall 387
Essential dimension via prismatic cohomology
Jesse Wolfson, Department of Mathematics, UC Irvine,

Let A be a complex abelian variety. Using prismatic cohomology, we show that for all but finitely many primes p, the multiplication-by-p cover p:A\to A is p-incompressible, as conjectured by Brosnan. As an application, we obtain new p-incompressibility results for congruence covers of Shimura varieties, extending previous work of Farb-Kisin-W, Brosnan-Fakhruddin, and Fakhruddin-Saini. This is joint work with Benson Farb and Mark Kisin.

For more information, please contact Math Department by phone at 626-395-4335 or by email at [email protected].