Virtual cactus group: combinatorics and topology

Abstract: The cactus group is a finitely presented group analogous to the braid group. It acts on combinatorial objects, especially tensor products of crystals. It is also the fundamental group of the moduli space of marked real genus 0 stable curves. The virtual cactus group contains both the cactus group and the symmetric group with some natural relations (here "virtual" is in the sense of virtual knot theory). I will explain how the virtual cactus group appears combinatorially and topologically.

mathematical physicsalgebraic geometrydifferential geometrygeometric topologyoperator algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Geometry, Physics, and Representation Theory Seminar

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