K-theory of Springer Varieties
K-theory of Springer Varieties
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V. Uma, Indian Institute of Technology Madras
Zoom link:Ìý
Passcode: 114700
The aim of this talk is to describe the topological $K$-ring, in terms of generators and relations of a Springer variety $\mathcal{F}_{\lambda}$ of type $A$ associated to a nilpotentÌýoperator having Jordan canonical form whose block sizes is a weaklyÌýdecreasing sequence $\lambda=(\lambda_1,\ldots, \lambda_l)$.ÌýThisÌýparallels the description of the integral cohomology ring ofÌý$\mathcal{F}_{\lambda}$ due to Tanisaki and also the equivariantÌýanalogue due to Abe and Horiguchi.
This talk is based on aÌýjoint work with Parameswaran Sankaran.