The goal of this section is to bring together researchers with interests in combinatorics and Lie theory. Lie theory provides geometric tools that can be applied to a wide variety of different problems in combinatorics, algebraic geometry, and representation theory. This relationship is mutual, as algebraic and combinatorial tools such as symmetric functions, GKM theory, Coxeter groups, and root systems are essential for describing many of the geometric and representation-theoretic structures in Lie theory. These tools have linked Schubert calculus with the representations of Lie algebras, Hessenberg varieties with chromatic symmetric functions, and have expanded classical results in combinatorics and linear algebra to other Coxeter and Lie types. This special session will promote collaborations between mathematicians who work in all areas of algebraic combinatorics and Lie Theory and extend the state of the art in these respective areas.

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