Mathematics Colloquia and Seminars

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Description

To a complex reflection group, Broué, Malle, and Rouquier assigned the Hecke algebra as a generalization of the Hecke algebras of Weyl groups of Lie algebras. Later on, Etingof extended this notion to an arbitrary global quotient orbifold [X/G], where X is a complex analytic manifold, and G is a finite group of its automorphisms. I will explain that the orbifold A∞-algebra of the cotangent fiber over a nonsingular point of [X/G] bulk-deformed by (twisted sectors of) reflection hypersurfaces of the action is isomorphic to the orbifold Hecke algebra of [X/G] under the assumption that X is a K(π,1). This talk is based on the ongoing work with Ko Honda, Yin Tian, and Tianyu Yuan.