PIRSA:17020023

Motivic Classes for Moduli of Connections

Soibelman, A. (2017). Motivic Classes for Moduli of Connections. Perimeter Institute. https://pirsa.org/17020023

Soibelman, Alexander. Motivic Classes for Moduli of Connections. Perimeter Institute, Feb. 14, 2017, https://pirsa.org/17020023 

          @misc{ pirsa_PIRSA:17020023,
            doi = {10.48660/17020023},
            url = {https://pirsa.org/17020023},
            author = {Soibelman, Alexander},
            keywords = {Mathematical physics},
            language = {en},
            title = {Motivic Classes for Moduli of Connections},
            publisher = {Perimeter Institute},
            year = {2017},
            month = {feb},
            note = {PIRSA:17020023 see, \url{https://pirsa.org}}
          }

Alexander Soibelman

University of Southern California

Talk number
PIRSA:17020023
Collection
Talk Type
Subject
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 K-ring 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 a work in progress with Roman Fedorov and Yan Soibelman.