Pantheon SEMPARIS Le serveur des séminaires parisiens Paris

Status Confirmed
Seminar Series PT-IHES
Subjects math-ph
Date Wednesday 23 January 2019
Time 14:30
Institute IHES
Seminar Room Amphithéâtre Léon Motchane
Speaker's Last Name Gunningham
Speaker's First Name Sam
Speaker's Email Address
Speaker's Institution Edinburgh University
Title Symmetries of Convolution Categories and the Quantum Ngo Action
Abstract I will describe a remarkable symmetric monoidal category associated to a reductive group G, which acts centrally on any G-category. This construction quantizes the universal centralizer group scheme, together with its action on Hamiltonian G-spaces used by Ngo in his proof of the Fundamental Lemma. The category and its central action appear most naturally in a Langlands dual incarnation, which is phrased in terms of convolution on the affine Grassmannian, via work of Bezrukavnikov, Finkelberg and Mirkovic. This is joint work with David Ben-Zvi.
arXiv Preprint Number

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