Bhargav Bhatt : Moduli of products of stable varieties

Posted by Artie Prendergast-Smith , part of the Algebraic Geometry Seminar.

At

Feb. 22, 2012, 4 p.m.

In

SEO 427

Abstract

We will discuss the relation between the moduli space of a product of varieties, and the product of the moduli spaces of the factors. For (stable) curves, Van Opstall showed that taking products gives an isomorphism between these two spaces, up to controlled finite etale covers. We will explain why the same picture exists in all dimensions provided we replace (stable) curves with (stable) varieties, as defined by the minimal model program. This is joint work with Wei Ho, Zsolt Patakfalvi, and Christian Schnell.