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Character varieties and differential operators on surfaces

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Speaker: 
Alexander Thomas
Affiliation: 
MPIM
Date: 
Thu, 2021-10-07 15:00 - 16:00
Parent event: 
MPI-Oberseminar
https://zoom.us/j/93172910947
Meeting ID: 931 7291 0947
For password please contact Christian Kaiser (kaiser@mpim-bonn.mpg.de).
 

In the first part of the talk I propose a gentle introduction to character varieties, the space of representations of the fundamental group of a surface. In particular I highlight motivations from algebra, geometry and physics.
In the second part I will show the link to flat connections and differential operators. In particular I'll present a generalization of the concept of opers, using a modified version of the WKB method.

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