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Home » GRTA seminar: Towards a categorification of a projection from an affine to a finite Hecke algebra in type A

Seminar

GRTA seminar: Towards a categorification of a projection from an affine to a finite Hecke algebra in type A May 08, 2018 (03:30 PM PDT - 04:30 PM PDT)
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Location: MSRI: Simons Auditorium
Speaker(s) Konstantin Tolmachov (Massachusetts Institute of Technology)
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Work of Bezrukavnikov on the 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 Jucys-Murphy elements on the finite side. I will talk about a recent progress towards a construction of such a categorification in the setting of geometric Hecke categories.

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