Quantum Schur dualities ABC

Abstract: The classical Schur duality admits a q-deformation due to Jimbo, which is a duality between a quantum group and Hecke algebra of type A. A new quantum Schur duality between an i-quantum group (arising from quantum symmetric pairs) and Hecke algebra of type B was formulated by Huanchen Bao and myself. In this talk, I will explain these dualities, their geometric incarnation, and applications to super Kazhdan-Lusztig theories of type ABC.

mathematical physicsalgebraic geometrydifferential geometrygeometric topologyoperator algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Geometry, Physics, and Representation Theory Seminar

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