Bethe subalgebras of Yangians

Abstract: The main object of this talk is the family of commutative Bethe subaglebras in the Yangian. It is a natural family of commutative subalgebras of the Yangian parameterized by the simple adjoint Lie group. In my talk I will discuss how this family is connected with various wonderful compactifications. I also plan to discuss applications of this family to the theory of crystals.

mathematical physicsalgebraic geometryalgebraic topologyquantum algebrarepresentation theorysymplectic geometry

Audience: researchers in the topic

Comments: Hybrid delivery (in person on University of Saskatchewan campus and via Zoom).

PIMS Geometry / Algebra / Physics (GAP) Seminar