Status  Confirmed 
Seminar Series  MATHIHES 
Subjects  hepth 
Date  Tuesday 27 June 2017 
Time  14:30 
Institute  IHES 
Seminar Room  Amphithéâtre Léon Motchane 
Speaker's Last Name  Soibelman 
Speaker's First Name  Alexander 
Speaker's Email Address  
Speaker's Institution  University of Southern California 
Title  Motivic Classes for Moduli of Connections 
Abstract  In their paper, "On the motivic class of the stack of bundles", Behrend and Dhillon were able to derive a formula for the class of a stack of vector bundles on a curve in a completion of the Kring of varieties. Later, Mozgovoy and Schiffmann performed a similar computation in order to obtain the number of points over a finite field in the moduli space of twisted Higgs bundles. We will briefly introduce motivic classes. Then, following Mozgovoy and Schiffmann's argument, we will outline an approach for computing motivic classes for the moduli stack of vector bundles with connections on a curve. This is joint work with Roman Fedorov and Yan Soibelman. 
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