XXXVIII Workshop on Geometric Methods in Physics 30.06-6.07.2019
VIII School on Geometry and Physics 24-28.06.2019

Makoto Yamashita

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.

Event sponsored by:
of Bialystok
University of Bialystok

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