Paul Kruse : Moduli spaces of Bridgeland stable objects on a quartic K3 surface

Posted by Izzet Coskun , part of the Algebraic Geometry Seminar.

At

Feb. 8, 2021, 3 p.m.

In

Zoom

Abstract

The study of certain moduli spaces of sheaves on smooth projective K3 surfaces has been closely related to the study of Hilbert Schemes of Points on K3 surfaces. Recently, the use of Bridgeland Stability has taken advantage of this connection to produce spaces birational to these Hilbert Schemes. In this talk, we present some wall crossings and associated birational modifications to the moduli spaces of Bridgeland Stable objects on K3 surfaces. In particular, we focus our attention to objects with Chern characters equal to those of ideal sheaves of points.