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Speaker:

David Martínez
Affiliation:

Utrecht
Date:

Wed, 2013-12-04 10:30 - 12:00
Location:

MPIM Lecture Hall
Parent event:

Higher Differential Geometry Seminar 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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