A $p$-adic analogue of an algebraization theorem of Borel

Abstract: Let $S$ be a Shimura variety such that the connected components of the set of complex points $S(\mathbb{C})$ are of the form $D/\Gamma$, where $\Gamma$ is a torsion-free arithmetic group acting on the Hermitian symmetric domain $D$. Borel proved that any holomorphic map from any complex algebraic variety into $S(\mathbb{C})$ is an algebraic map. In this talk I shall describe ongoing joint work with Ananth Shankar and Xinwen Zhu, where we prove a $p$-adic analogue of this result of Borel for compact Shimura varieties of abelian type.

number theory

Audience: researchers in the topic

Harvard number theory seminar