Omar Kidwai (Toronto)

Loading Events

« All Events

  • This event has passed.

Omar Kidwai (Toronto)

February 22, 2019 @ 3:00 pm - 4:00 pm UTC+0

Higher length-twist coordinates for character varieties.

We describe joint work with L. Hollands on a construction of special holomorphic Darboux coordinates on certain SL_N (particularly N=2,3) character varieties. We consider degenerate examples of “spectral networks” of Gaiotto-Moore-Neitzke (certain graphical objects on a Riemann surface), generalizing the so-called “Fenchel-Nielsen” networks of Hollands-Neitzke. We compute the associated “spectral coordinates” using the “abelianization map”, taking connections on the Riemann surface to abelian holonomy data on a spectral cover, generalizing the “complexified Fenchel-Nielsen” coordinates of Kourouniotis-Tan for SL(2)-connections to higher rank. Time permitting, I will discuss some physical applications to computing superpotentials coming from 4d N=2 supersymmetric QFTs.

Details

Date:
February 22, 2019
Time:
3:00 pm - 4:00 pm UTC+0
Event Categories:
,

Venue

Room 101
2-5 Kirkby Place
Plymouth, PL4 6DT United Kingdom
+ Google Map