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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: Group valued moment maps

Presented by "Frances Kirwan (University of Oxford, Oxford) ",

7 January 2002 16:00 in CM221

" The concept of a moment (or momentum) map in symplectic geometry is a generalisation of the familiar
notions of angular and linear momentum in mechanics, and has been studied for several decades.
A moment map is a smooth map from a symplectic manifold X to the dual of the Lie algebra of a group G
acting symplectically on X, whose components are Hamiltonian functions for the infinitesimal action on X
of elements of the Lie algebra. A few years ago Alekseev, Malkin and Meinrenken introduced the concept
of a quasi-Hamiltonian G-space, for which there is a moment map taking values in the group G itself instead
of in the dual of its Lie algebra. The aim of this talk is to describe some of the similarities and differences
between group valued moment maps and traditional moment maps, and an application of the new approach."

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