K-theory of Springer Varieties

K-theory of Springer Varieties

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V. Uma, Indian Institute of Technology Madras

Zoom link: https://princeton.zoom.us/j/92116764865

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 nilpotent operator having Jordan canonical form whose block sizes is a weakly decreasing sequence $\lambda=(\lambda_1,\ldots, \lambda_l)$. This parallels the description of the integral cohomology ring of $\mathcal{F}_{\lambda}$ due to Tanisaki and also the equivariant analogue due to Abe and Horiguchi.

This talk is based on a joint work with Parameswaran Sankaran.