p-adic hyperbolicity of Shimura varieties
Mathematics Colloquium
p-adic hyperbolicity of Shimura varieties
Series: Mathematics Colloquium
Location: MATH 501
Presenter: Xinwen Zhu, Stanford University
Abstract: 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 withAbhishek Oswal and Ananth Shankar (with an appendix by Anand Patel).
(Refreshments will be served in the Math Commons Room at 3:30 PM)