Event time:
Monday, February 21, 2005 - 11:30am to Sunday, February 20, 2005 - 7:00pm
Location:
431 DL
Speaker:
Slava Krushkal
Speaker affiliation:
Virginia
Event description:
We investigate the rigidity and asymptotic
properties of quantum representations of mapping class
groups. In the genus one case this leads to a problem in
Fourier analysis on the real line. We show that this
problem does not have a solution, and the trivial
representation is isolated in this case. The answer is
different for spherical braid groups, and the question is
open for higher genus surfaces. (Joint work with
M.Freedman)