|XXXVIII Workshop on Geometric Methods in Physics||30.06-6.07.2019|
|VIII School on Geometry and Physics||24-28.06.2019|
Participants of Workshop
Participants of School
Quantum symmetric pairs, cyclotomic KZ-equations, and module categories
The reflection equation (RE) in various incarnations gives quantum homogeneous spaces through Tannaka–Krein duality principle. In this talk, I explain a conjectural C*-categorical correspondence of the solutions to RE arising from quantizations of symmetric spaces: the Knizhnik–Zamolodchikov scheme (Leibman, Golubeva–Leksin, Enriquez) on the one hand and the coideal scheme (Balagovic–Kolb) on the other. In the formal setting, we can show that such structures are indeed classifiable via computation of coHochschild cohomology groups.
Based on joint works with K. De Commer, S. Neshveyev, and L. Tuset.
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