Séminaire de Physique Mathématique

Symmetries of Convolution Categories and the Quantum Ngo Action

par Prof. Sam Gunningham (Edinburgh University)

Europe/Paris
Amphithéâtre Léon Motchane (I.H.E.S.)

Amphithéâtre Léon Motchane

I.H.E.S.

Le Bois Marie 35, route de Chartres 91440 Bures-sur-Yvette
Description

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.

Organisé par

Vasily Pestun & Chris Elliott

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