Quotients of the Siegel upper half space
Meng Yan (Brandeis University)
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.
Reference: The end of Section 1.1, and Section 1.2 of Genestier and Ngo, Lectures on Shimura varieties.
algebraic geometrynumber theory
Audience: advanced learners
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.
Organizers: | Raymond van Bommel*, Edgar Costa*, Bjorn Poonen*, Shiva Chidambaram* |
*contact for this listing |