Logo

Mathematical Sciences Research Institute

Home » EGN Main Seminar: Wall crossing in moduli problems large and small

Seminar

EGN Main Seminar: Wall crossing in moduli problems large and small February 07, 2018 (02:00 PM PST - 03:00 PM PST)
Parent Program:
Location: MSRI: Simons Auditorium
Speaker(s) Daniel Halpern-Leistner (Cornell University)
Description No Description
Video
No Video Uploaded
Abstract/Media

Geometric invariant theory is an essential tool for constructing moduli spaces in algebraic geometry. Recently a theory has emerged in my work and the work of others which treats the results and structures of geometric invariant theory in a broader context. The theory of Theta-stability applies directly to moduli problems without the need to approximate a moduli problem as an orbit space for a reductive group on a quasi-projective scheme. I will give an overview of the picture that has emerged, including a discussion of Harder-Narasimhan theory and relatively simple criteria for the existence of good moduli spaces. Then I will discuss applications to wall crossing formulas of K-theoretic Donaldson invariants of algebraic surfaces.

No Notes/Supplements Uploaded No Video Files Uploaded