Open Problems in Algebraic Combinatorics

Focusing on exact results, the collection unites algebraic combinatorics with algebra, topology, geometry, and physics. Drawing on talks from the 2022 conference, it highlights remarkable research and intriguing open problems, sparking exchanges of innovative ideas and promising new directions.
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, geometry, and physics. It is a vibrant area, which saw several major developments in recent years. The goal of the 2022 conference Open Problems in Algebraic Combinatorics 2022 was to provide a forum for exchanging promising new directions and ideas. The current volume includes contributions coming from the talks at the conference, as well as a few other contributions written specifically for this volume.

The articles cover the majority of topics in algebraic combinatorics with the aim of presenting recent important research results and also important open problems and conjectures encountered in this research. The editors hope that this book will facilitate the exchange of ideas in algebraic combinatorics.

Contributor: Christine Berkesch (Edited by), Benjamin Brubaker (Edited by), Gregg Musiker (Edited by), Pavlo Pylyavskyy (Edited by), Victor Reiner (Edited by)

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