Springer representations and other geometric representations Part 2
Presenter
August 29, 2014
Keywords:
- cohomology of Springer varieties
- Heisenberg varieties
- monodromy representation
- Poincare polynomial
- Kostka-Faulkes polynomial
- monomial bases
MSC:
- 14M15
- 14D24
- 14Dxx
- 14-xx
Abstract
The central object in geometric representation theory is a representation constructed from a variety, generally through a construction (like cohomology) that turns geometry into a vector space. In the first talk, we describe the seminal example of Springer representations, including their geometry and combinatorics. In the second, we move to other examples. Throughout both talks we highlight themes and tools that recur across different geometric representations, as well as open questions (big and small).