Affine Lusztig-Kato formula

Dinakar Muthiah (University of Glasgow)

Wednesday 24th February 16:00-17:00 online zoom

Abstract

The Lusztig-Kato formula is an important precursor to the geometric Satake correspondence. Recent constructions point to geometric Satake for affine and general Kac-Moody groups. This leads to a conjectural Lusztig-Kato formula. I will review this and discuss work in progress with H. Nakajima, which implies the formula in affine type A.

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