School of Mathematics, Statistics and Physics

Seminar Archive

Tim Weelinck, University of Edinburgh

The Braided Geometry of Quantum Symmetric Pairs

Date/Time: 16 May 2017, 14:30 - 15:30

Venue: Teaching room 4, Floor 4, Herschel Building

Classical symmetric pairs consist of a Lie group G and a subgroup K of fixed-points under an involution. Such pairs can be quantized and M. Balagovic and S. Kolb showed that these quantizations carry canonical solutions to the generalised reflection equation. We will explain that this equation comes from the braid group of the orbifold R^2/Z_2. Using that observation we sketch how to assign invariants to orbifold surfaces constructed using a quantum symmetric pair. We conclude by explaining why, conjecturally, the invariant of a quantum symmetric pair corresponding to an involutive quotient of the torus should be given by the category of quantum D-modules on the associated symmetric space K\G/K.