Big Picard Theorem on moduli spaces of polarized manifolds

Abstract: In 1972 Armand Borel obtained a big Picard type extension theorem for holomorphic maps from products of punctured unit disc to arithmetic varieties, by using the Baily-Borel compactification. As a consequence, he proved that the algebraic structure on an arithmetic variety is unique. In this talk, I will present a similar big Picard type extension theorem in the setting of moduli spaces of polarized manifolds with semi-ample canonical divisor, which is a joint work with Ya Deng, Steven Lu and Kang Zuo. The proof uses the Viehweg-Zuo construction for families of varieties and some analytic tools from value distribution theory.

Mathematics

Audience: researchers in the topic

ICCM 2020