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Symplectically orthogonal Hamiltonian actions of Lie groups (matrix groups vs diffeomorphism groups) (Cornelia Vizman)
Sprecher: Cornelia Vizman

Abstract:

The two (equivariant) moment maps for commuting symplectically orthogonal actions form a (Weinstein) dual pair.
There is a general principle that symplectic reduction for one Lie Lie group provides coadjoint orbits of the other group.
I will give examples with matrix groups and diffeomorphism groups, mentioning some coadjoint orbits of diffeomorphism groups one gets via symplectic reduction.

Datum : Mon, Jun 2

Zeit: 13:00

Ort: SR C