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.

Session organizers:

Important information:

Saturday morning (March 29):
8:00-8:20: Suho Oh - Demazure Product And The Hopping Operator
8:30-8:50: Linus Setiabrata - Double Orthodontia Formulas And Lascoux Positivity
9:00-9:20: Avery St. Dizier - Log-Concavity Of Weight Multiplicities In Type A
9:30-9:50: Kevin Summers - A Dual Basis For The Equivariant Quantum K-Theory Of Cominuscule Varieties
10:00-10:20: Kamyar Amini - Toda Type Presentation For The Quantum K Theory Of Partial Flag Varieties
10:30-10:50: Tianyi Yu - Normal Crystals For Symmetric Grothendieck Polynomials

Saturday afternoon (March 29):
3:00-3:20: Arthur Huey - Coessential Sets In Type D Reflections Groups
3:30-3:50: Nick Mayers - Contact Lie Poset Algebras Of Types B, C, And D
4:00-4:20: Weihong Xu - Chevalley Formulas In Quantum K-Theory Of Coadjoint Flag Varieties
4:30-4:50: Colleen Robichaux - Positivity Of Schubert Coefficients
5:00-5:20: Nathan Williams - Charmed Roots And The Kroweras Complement

Sunday morning (March 30):
8:30-8:50: Ada Stelzer - Crystals, Standard Monomials, And Filtered RSK
9:00-9:20: Abigail Price - Bicrystalline Ideals And Applications Of Filtered RSK
9:30-9:50: Jaewon Min - Saturation of Littlewood-Richardson coefficients and generalization
10:00-10:20: Mahir Can - Two New Combinatorial Families of Spherical Varieties
10:30-10:50: Anders Buch - The Picard Group Of A Cominuscule Richardson Variety

Sunday afternoon (March 30):
2:00-2:20: Han Yin - A Non-Iterative Rule For Straightening Fillings And Orthonormality
2:30-2:50: Cristina Sabando Alvarez - Ideals Defining Two-Row Springer Fibers
3:00-3:20: Martha Precup - Components Of Springer Fibers Equal To Richardson Varieties
3:30-3:50: Erik Insko - Geometry And Combinatorics Of Regular Hessenberg Varieties