EVENT DETAILS AND ABSTRACT

Title: Donaldson-Thomas invariants, motivic integration and cluster transformations
Speaker: Professor Yan Soibelman
Speaker Info: Kansas State University
Brief Description:
Special Note:
Abstract:

I am going to discuss the joint work with Maxim Kontsevich which is devoted to the general approach to the count of stable objects in 3d Calabi-Yau categories (BPS states in the language of physics,DT-invariants in the language of mathematics). The approach is based on the ideas of motivic integration. In particular it leads to new wall-crossing formulas. If time permits, I am going to discuss the relationship of our approach to quantum dilogarithm and cluster transformations.