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Towards a categorification of a projection from an affine to a finite Hecke algebra in type A

Algebra & Discrete Mathematics

Speaker: Konstantin Tolmachov, MIT
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Location: 1147 MSB
Start time: Mon, May 7 2018, 3:10PM

Work of Bezrukavnikov on local geometric Langlands correspondence and works of Gorsky, Neguţ, Rasmussen and Oblomkov, Rozansky on knot homology and matrix factorizations suggest that there should be a categorical version of a certain natural homomorphism from the affine Hecke algebra to the finite Hecke algebra in type A, sending basis lattice elements on the affine side to Jucys-Murphy elements on the finite side. I will talk about recent progress towards a construction of such a categorification in the setting of geometric Hecke categories.