Abhishek Oswal (University Freiburg): p-adic hyperbolicity of the moduli space of abelian varieties

By a theorem of Borel, any holomorphic map from a complex
algebraic variety to the moduli space of abelian varieties (and more
generally to an arithmetic variety) is in fact algebraic. A key input
is to prove that any holomorphic map from a product of punctured disks
to such an arithmetic variety does not have any essential
singularities. In this talk, I’ll discuss a p-adic analogue of these
results. This is joint work with Ananth Shankar and Xinwen Zhu (with an
appendix by Anand Patel).

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