A real convexity theorem for Lie-group valued momentum
maps
Mr. Florent Schaffhauser
Université de Paris
VI, France
Abstract
Quasi-Hamiltonian spaces were
introduced by Alekseev, Malkin and Meinrenken to obtain an easy and efficient description of symplectic structures on spaces of representations of a
surface group. In analogy with the usual Hamiltonian case, the momentum maps
defined on quasi-Hamiltonian spaces enjoy remarkable convexity properties. The study
of a particular class of representations of the fundamental group of a
punctured sphere shows the need for a "real version" of the convexity
theorem of Alekseev, Malkin and Meinrenken.
After exposing briefly the motivation, we shall state and sketch the proof of
such a real convexity theorem.
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Date: |
April 22, 2005 (Friday) |
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Time: |
4:00 – 5:00pm |
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Place: |
Room 517, Meng
Wah Complex |
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All are welcome |