Topological Quantum Field Theory Seminar   RSS

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Ben Elias 26/02/2021, 17:00 — 18:00 Europe/Lisbon — Instituto Superior Técnico
, University of Oregon

Introduction to the Hecke category and the diagonalization of the full twist

The group algebra of the symmetric group has a large commutative subalgebra generated by Young-Jucys-Murphy elements, which acts diagonalizably on any irreducible representation. The goal of this talk is to give an accessible introduction to the categorification of this story. The main players are: Soergel bimodules, which categorify the Hecke algebra of the symmetric group; Rouquier complexes, which categorify the braid group where Young-Jucys-Murphy elements live; and the Elias-Hogancamp theory of categorical diagonalization, which allows one to construct projections to "eigencategories."

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Current organizers: Roger Picken, John Huerta, Marko Stošić.


FCT Projects PTDC/MAT-GEO/3319/2014, Quantization and Kähler Geometry, PTDC/MAT-PUR/31089/2017, Higher Structures and Applications.