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Title:
Opers, flat connections, and variations of Hodge structure

Speaker:
Andrew Sanders

Abstract:
In classical geometric function theory on a compact Riemann surface X, complex projective structures on X provide an important class of flat \textnormal{PSL}(2, \mathbb{C})-connections on X, with the uniformizing hyperbolic structure on X serving as an important example. Deformations of the uniformizing flat connection into the real form \textnormal{PSL}(2, \mathbb{R}) leads to the study of the Fricke space of all hyperbolic structures on the smooth oriented surface underlying X.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=3948

Workshop:
Simons- Geometry and Physics of Hitchin Systems: January 22 - June 21, 2019