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Sorbonne Université CNRS Paris Diderot

Groupes, Représentations et Géométrie


Geometric representation theory of double affine Hecke algebra

Satoshi Nawata - Fudan University

vendredi 15 février 2019 à 14:00
Sophie Germain en salle 1016 à 14 h 00

8 place Aurélie Nemours, 75013 Paris

I will talk about physics approach to geometric representation theory of double affine Hecke algebra (DAHA). DAHA can be realized as deformation quantization of coordinate ring of Hitchin moduli space over once-punctured torus. Using 2d A-model on the Hitchin moduli space, I will explain the relationship between representation category of DAHA and Fukaya category of the Hitchin moduli space.

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