Home /  Workshop /  Schedules /  A P-Adic Analogue of Borel's Theorem

A P-Adic Analogue of Borel's Theorem

Degeneracy of Algebraic Points April 24, 2023 - April 28, 2023

April 27, 2023 (03:30 PM PDT - 04:30 PM PDT)
Speaker(s): Ananth Shankar (University of Wisconsin-Madison)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

A P-Adic Analogue of Borel's Theorem

Abstract

Shimura varieties are higher dimensional analogues of the modular curve. Borel proved that any holomorphic map from an affine complex algebraic curve to a Shimura variety (with sufficient level structure) must be algebraic. We will discuss a p-adic analogue of this theorem. The talk will mainly focus on the case of the moduli space of principally polarized abelian varieties. This is joint work with Abhishek Oswal and Xinwen Zhu, with an appendix by Anand Patel.

Supplements No Notes/Supplements Uploaded
Video/Audio Files

A P-Adic Analogue of Borel's Theorem

Troubles with video?

Please report video problems to itsupport@slmath.org.

See more of our Streaming videos on our main VMath Videos page.