Towards a categorification of a projection from the affine to the finite Hecke algebra in type A Speaker(s): Kostiantyn Tolmachov
Abstract:
Work of Bezrukavnikov on local geometric Langlands correspondence and works of Gorsky, NeguĊ£, 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 JucysMurphy elements on the finite side. I will try to explain some of the structures involved and will talk about recent progress towards a construction of such a categorification in the setting of Hecke categories. Date: 24/09/2018  2:00 pm
Series: Mathematical Physics
