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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 |
| Related Webpage: | http://math.mit.edu/directory/profile.php?pid=1533 |
| 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.