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Non-contractible loops in the diffeomorphism group of coadjoint orbits

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David Martínez
Wed, 04/12/2013 - 10:30 - 12:00
MPIM Lecture Hall

A compact connected semisimple Lie group G acts in a Hamiltonian fashion on its coadjoint orbits, i.e. G maps into the group of Hamiltonian transformations of the coadjoint orbit. McDuff and Tolman showed that the induced map on fundamental groups is injective, answering a question of A. Weinstein. In this talk I shall show that this is not quite a symplectic phenomenon, but a topological one, since the (finite) fundamental group of G already injects in the fundamental group of the group of diffeomorphisms. This is joint work with I. Mundet (Barcelona). 

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