Nonabelianization for reductive groups

Clusters and Geometry
Event time: 
Friday, October 23, 2020 - 1:00pm
Benedict Morrissey
Speaker affiliation: 
University of Chicago
Event description: 

Nonabelianization provides coordinate charts on the moduli space of local systems on a curve. In the work of Gaiotto, Moore, and Neitzke this is done by giving a map from the moduli space of one dimensional local systems on a spectral curve to the moduli space of n-dimensional local systems on the original curve. I will describe joint work with M. Ionita which extends this construction from GL(n) to an arbitrary reductive algebraic group.