Introduction to Bridgeland stability conditions (1)


Yu-Wei Fan

09:00:00 - 10:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

Motivated by the concept of pi-stability for Dirichlet branes in string theory, the notion of stability conditions on triangulated categories was first introduced by Bridgeland in 2002. It is closely related to mirror symmetry, as well as Donaldson-Thomas invariants, Kontsevich-Soibelman wall-crossing, minimal model program, and meromorphic quadratic differentials on Riemann surfaces. In this series of talks, we will introduce the notion of Bridgeland stability conditions and discuss these related fields, based on various works of A. Bayer, T. Bridgeland, M. Kontsevich, E. Macri, I. Smith, Y. Soibelman, R. Thomas, and Y. Toda.