EVENT DETAILS AND ABSTRACT

Title: The Behrend function and its motivic version in Donaldson-Thomas theory
Speaker: Yunfeng Jiang
Speaker Info: University of Kansas
Brief Description:
Special Note:
Abstract:

In this talk I will introduce several basic properties of the Behrend function in the definition of Donaldson-Thomas invariants by using symmetric perfect obstruction theory of Kai Behrend. I will show that in some cases of the symmetric obstruction theory, the weighted Euler characteristic defined by the Behrend function is the same as Kiem-Li invariants by using the cosection localization. If time permits, I will also talk about the motivic version of the Behrend function and the famous Joyce-Song formula of the Behrend function identities.