Unitary representations of reflection groups and their deformations.

1 hour 8 mins,  992.10 MB,  MPEG-4 Video  640x360,  29.97 fps,  44100 Hz,  1.94 Mbits/sec
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Description: Bader, U (Weizmann Institute of Science)
Thursday 11th May 2017 - 09:00 to 10:00
 
Created: 2017-05-15 14:53
Collection: Non-Positive Curvature Group Actions and Cohomology
Publisher: Isaac Newton Institute
Copyright: Bader, U
Language: eng (English)
Distribution: World     (downloadable)
Explicit content: No
Aspect Ratio: 16:9
Screencast: No
Bumper: UCS Default
Trailer: UCS Default
 
Abstract: The first two parts of my talk will consist of independent surveys of exciting theories.
1. I will discuss the theory of "boundary representations", which consists of the study of a class of unitary representations arising naturally in geometric group theory.
2. I will describe the deformation theory of a right-angled Coxeter group W, known as the Iwahori-Hecke algebra H.
Later I will combine the two and focus on the boundary representation of W and explain how it deforms into a representation of H.
If time permits, I will relate the above to the boundary representations of groups which act on hyperbolic buildings.

Based on a joint work with Jan Dymara.
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