Decomposable representations of surface groups into
compact connected Lie groups
Dr. Florent Schaffhauser
Keio
University, Yokohama, Japan
Abstract
In
this talk, we generalize to arbitrary surface groups and arbitrary compact connected
Lie groups the notion of decomposable representation, first introduced by Falbel and Wentworth for unitary representations of the
punctured sphere group. We show that such decomposable representations are
characterized as the elements of the fixed-point set of an anti-symplectic involution defined on the moduli
space of representations, forming therefore a lagrangian
submanifold of this moduli
space. The existence of decomposable representations is obtained as a corollary
of a real convexity theorem for group-valued momentum maps.
|
Date: |
|
|
Time: |
|
|
Place: |
Room 517, Meng Wah Complex, HKU |
|
|
All are
welcome |
|