Special Year Workshop on p-adic Arithmetic Geometry

p-adic Hyperbolicity of Shimura Varieties

A theorem of Borel says that any holomorphic map from a complex algebraic variety to a smooth arithmetic variety is automatically an algebraic map. The key ingredient is to show that any holomorphic map from the (poly) punctured disc to the Baily-Borel compactification of the arithmetic variety has no essential singularity.

I will discuss p-adic analogue of these facts for Shimura varieties of abelian type. Joint with Abhishek Oswal and Ananth Shankar (with an appendix by Anand Patel).

Date & Time

November 14, 2023 | 4:30pm – 5:30pm

Location

Simonyi Hall 101 and Remote Access

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