Nonabelianization for Reductive groups.
Speaker:
Benedict Morrissey, University of Chicago
Date and Time:
Monday, April 12, 2021 - 2:00pm to 4:00pm
Abstract:
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. Time permitting I will describe work in progress towards proving that these maps are symplectomorphisms (under certain conditions).