C'est
avec grand plaisir que le CRM annonce la
remise du Prix de mathématiques André-Aisenstadt de l'année
2000 à Eckhard MEINRENKEN
de l'Université de Toronto. Il a donné une conférence
sur ses travaux le 9 février 2001.
The CRM takes great pleasure
in announcing the awarding of the 2000 André Aisenstadt Mathematics
Prize to Professor Eckhard MEINRENKEN of the University of Toronto. He
delivered a lecture on his work at CRM on February 9th, 2001
Résumé / Abstract
Matrices, Moment Maps,
and Moduli Spaces
Moment maps are a mathematical generalization of angular momentum in classical
mechanics. The abstract notion of a moment map was introduced in the late
1960's by Souriau, and developed by Guillemin, Kirillov, Kirwan, Kostant,
Marsden, Sternberg, Weinstein, and many others. This lecture will be concerned
with a "non-linear" theory of moment maps, introduced in 1998
in collaboration with Alekseev and Malkin. We will explain the main properties
of non-linear moment maps, and discuss their applications to eigenvalue
problems for matrices and to moduli spaces of flat connections over a
surface.
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