DMM Seminar

Speaker: Shintaro Yanagida (RIMS)
Title: Bridgeland's stabilities on abelian surfaces
Date (JST): Mon, May 07, 2012, 14:00 - 17:00
Place: Seminar Room A
Abstract: The notion of Bridgeland stability conditions is a natural analogue of classical Mumford/Gieseker/Simpson stability for coherent sheaves on projective varieties to the derived cateogry setting. Its motivation comes from string theory, especially from Douglas' notion of Pi-stability for D-branes. Since the appearance of Bridgeland's study, numerous discoveries have been made in several branches of mathematics.

In this talk, I will explain the wall-chamber structure for Bridgeland's stability conditions on abelian surfaces, following the collaboration with Kota Yoshioka. Also I will study some connection between walls of special type and Fourier-Mukai transforms which relate moduli of Gieseker-stable sheaves and Hilbert schemes of points.

The first part of the talk will be the explanation of fundamental results on Bridgeland's stability on projective surfaces. Detailed treatment for abelian surface case will be given in the latter part.
Remarks: Break 15:00-15:30