Moduli space of abelian varieties I

Abstract: Sections 2.1-2.3 of Genestier and Ngo, Lectures on Shimura varieties. We will first finish the part on classifying isomorphism of polarized Abelian varieties over \mathbb C, then introduce dual Abelian schemes, calculate cohomology of line bundles on Abelian varieties, and verify the representability of the moduli problem \mathcal A classifying Abelian varieties with polarizations and Level strictures.

algebraic geometrynumber theory

Audience: advanced learners

STAGE

Series comments: STAGE (Seminar on Topics in Arithmetic, Geometry, Etc.) is a learning seminar in algebraic geometry and number theory, featuring speakers talking about work that is not their own. Talks will be at a level suitable for graduate students. Everyone is welcome.

Spring 2024 topic: The contents of Serre, Lectures on the Mordell-Weil theorem

Some topics might take more or less time than allotted. If a speaker runs out of time on a certain date, that speaker might be allowed to borrow some time on the next date. So the topics below might not line up exactly with the dates below.