Sándor Kovács : What is...a higher dimensional stable variety?

Posted by Mihnea Popa , part of the Algebraic Geometry Seminar.

At

Nov. 10, 2011, 4 p.m.

In

SEO 427

Abstract

In this talk I will review how one figures out the right definition for a stable variety in higher dimensions. This stability is independent of GIT and it is only called stable by analogy. I will mention many new challenges that arise in higher dimensions that are absent in the case of curves. Yet, stable varieties of dimension 1 in this "new sense" are the same as stable curves, so this is a direct generalization. The talk is aimed at graduate student with some basic knowledge of algebraic geometry.