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Act globally, compute locally: Group actions, fixed points, and localization
Algebra & Discrete Mathematics| Speaker: | Tara Holm, Cornell University |
| Location: | 1147 MSB |
| Start time: | Fri, Apr 2 2010, 11:00AM |
Description
Localization is a topological technique that allows us to make global
equivariant computations in terms of local data at the fixed points. For
example, we may compute a global integral by summing integrals at each of the
fixed points. This often turns topological questions into combinatorial ones
and vice versa. This lecture will feature several instances of localization
that occur at the crossroads of symplectic and algebraic geometry on the one
hand, and combinatorics and representation theory on the other. The examples
come largely from the symplectic category. No background in symplectic
geometry will be assumed.