Proceedings from a virtual AMS Special Session delve into recent advances in Macdonald polynomials and their intricate combinatorial structures. Discussions span both type A and arbitrary types, unveiling new formulas connected to integrable systems...Daugiau...
In their preface, the editors describe algebraic combinatorics as the area of combinatorics concerned with exact, as opposed to approximate, results and which puts emphasis on interaction with other areas of mathematics, such as algebra, topology, g...Daugiau...
This volume contains the proceedings of the AMS Special Session on Combinatorial and Geometric Representation Theory, held virtually on November 20-21, 2021. The articles offer an engaging look into recent advancements in geometric representation th...Daugiau...
We discuss the combinatorics of decorated Dyck paths and decorated parallelogram polyominoes, extending to the decorated case the main results of both Haglund (A proof of the Schroder conjecture, 2004) and Aval et al. (Statistics on parallelogram...Daugiau...
We describe a method, based on the theory of Macdonald-Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternative to Macdonalds partial fraction technique and results in the first examples of bounded Li...Daugiau...
Egges goal is to make the theory of symmetric functions more accessible to undergraduate students, taking a combinatorial approach wherever feasible, and showing both the core of the subject and some of the areas that are active today. He assume...Daugiau...
