Towards a categorification of a projection from an affine to a finite Hecke algebra in type AAlgebra & Discrete Mathematics
|Speaker:||Konstantin Tolmachov, MIT|
|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.