Title of Seminar: Algebraic Geometry Preprint Seminar 2022
Title of Talk: Perfectoid covers of abelian varieties
Speaker: Ashutosh Roy Choudhury
Date: October 11, 2022
Time: 16:00:00 Hours
Venue: AG-77
Abstract: Perfectoid spaces are adic spaces of special kind over certain non-archimedean fields made to compare mixed characteristic situations with purely finite characteristic ones. A basic result in the theory is that the inverse limit (more precisely, the ``tilde limit'') over multiplication by $p$ maps on an abelian variety over an algebraically closed non-archimedean field of residue characteristic $p$, turns out to be perfectoid. The talk will be based on https://arxiv.org/pdf/1804.04455.pdf by C.Blakestad, D. Gvirtz, B. Heuer, D. Shchedrina, K. Shimizu, P. Wear, Z. Yao where they prove the above result using the theory of Raynaud Extensions. Time permitting, I'll discuss a few applications of this result.
Title of Talk: Perfectoid covers of abelian varieties
Speaker: Ashutosh Roy Choudhury
Date: October 11, 2022
Time: 16:00:00 Hours
Venue: AG-77
Abstract: Perfectoid spaces are adic spaces of special kind over certain non-archimedean fields made to compare mixed characteristic situations with purely finite characteristic ones. A basic result in the theory is that the inverse limit (more precisely, the ``tilde limit'') over multiplication by $p$ maps on an abelian variety over an algebraically closed non-archimedean field of residue characteristic $p$, turns out to be perfectoid. The talk will be based on https://arxiv.org/pdf/1804.04455.pdf by C.Blakestad, D. Gvirtz, B. Heuer, D. Shchedrina, K. Shimizu, P. Wear, Z. Yao where they prove the above result using the theory of Raynaud Extensions. Time permitting, I'll discuss a few applications of this result.