Kazhdan-Lusztig polynomials for $\tilde{B}_2$

Abstract: Kazhdan-Lusztig polynomials lie at the intersection of representation theory, geometry and algebraic combinatorics. Despite their relevance and elementary definition (through a recursive algorithm involving only elementary operations), the explicit computation of these polynomials is still one of the hardest open problems in algebraic combinatorics. In this talk we will present the explicit formulas of the Kazhdan-Lusztig polynomials for a Coxeter system of type $\tilde{B}_2$.

mathematical physicsalgebraic geometrydifferential geometrygeometric topologyoperator algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

Geometry, Physics, and Representation Theory Seminar

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