Non-reductive group actions and symplectic implosion
Topic
Given a linear action of a complex reductive group
on a projective variety X, geometric invariant theory provides us with an open subset of X (the set of stable points) which has a well-behaved quotient, and a compactification of this quotient which can be identified with a symplectic reduction in the sense of Marsden and Weinstein. This talk will discuss an analogue of this situation for groups which are not reductive, and its relationship with symplectic implosion in the sense of Guillemin, Jeffrey and Sjamaar.
on a projective variety X, geometric invariant theory provides us with an open subset of X (the set of stable points) which has a well-behaved quotient, and a compactification of this quotient which can be identified with a symplectic reduction in the sense of Marsden and Weinstein. This talk will discuss an analogue of this situation for groups which are not reductive, and its relationship with symplectic implosion in the sense of Guillemin, Jeffrey and Sjamaar.
Speakers
Additional Information
10th Anniversary Speaker Series 2007
Frances Kirwan (University of Oxford)
Frances Kirwan (University of Oxford)