Speaker:  Meng Yan

Title:  Quotients of the Siegel upper half space

Abstract:  We will first talk about Riemann's theorem of polarization of complex tori and then give canonical bijections between polarized abelian varieties and Siegel upper half-spaces. If time permits, we will also define principal level structures on abelian varieties to build isomorphisms to smooth complex analytic spaces.

Section 1.2 of Genestier and Ngo, Lectures on Shimura varieties.