Title: Positivity and higher Teichmuller theory
Speaker: Professor Alexander Goncharov
Speaker Info: Brown University
Brief Description:
Special Note:

The Teichmuller space parametrizes complex structures on a given surface S. We will show that there exists a generalization of the Teichmuller theory related to a pair (G,S), where G is a real simple Lie group, e.g. SL_n(R). In the case when G = SL_2 we recover the classical theory from a different point of view. On the other hand when G = SL_n but S is a simple surface we come to a theory of totally poisitive matrices originated by Schoenberg and Krein-Gokhberg in 30's. This is a joint work with V. Fock.
Date: Friday, October 22, 2004
Time: 4:00pm
Where: Lunt 105
Contact Person: Prof. Elton P. Hsu
Contact email: elton@math.northwestern.edu
Contact Phone: 847-491-8541
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