October 10, 2016 - October 14, 2016
Public Access Category: All |
||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||||
|
- Time:
- 4:00pm-5:00pm
- Location:
- Ramanujan Hall
- Description:
- Speaker: Victoria Hoskins from Freie University Berlin.
Title : Stratifications in moduli theory
Abstract
Many moduli spaces in algebraic geometry are constructed as quotients of algebraic varieties by a reductive group action using geometric invariant theory. In this talk we explain two such examples: moduli of coherent sheaves on a projective variety and moduli of quiver representations. In both cases, we introduce and compare two stratifications: a Harder-Narasimhan stratification associated to the notion of stability for the moduli problem and a stratification coming from the geometric invariant theory construction. In nice cases, these stratifications can be used to give recursive formulas for the Betti numbers of the moduli spaces.
Poster: http://www.math.iitb.ac.in/~seminar/colloquium/colloq-13-oct-16.pdf