Del i serien Proceedings of Symposia in Pure Mathematics

Open Problems in Algebraic Combinatorics

Häftad, Engelska, 2024

AvChristine Berkesch,Benjamin Brubaker,Gregg Musiker,Pavlo Pylyavskyy,Victor Reiner

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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.

Produktinformation

Utgivningsdatum2024-10-31
Mått178 x 254 x undefined mm
FormatHäftad
SpråkEngelska
SerieProceedings of Symposia in Pure Mathematics
Antal sidor371
FörlagAmerican Mathematical Society
ISBN9781470473334

Tillhör följande kategorier

ArticlesFrancois Bergeron, $(\operatorname {GL}_k \times \ \mathbb {S}_n)$-modules of multivariate diagonal harmonicsFrancesco Brenti, Some open problems on Coxeter groups and unimodalityR. Kenyon, Some combinatorial problems arising in the dimer modelPer Alexandersson and Valentin Feray, A positivity conjecture on the structure constants of shifted Jack functionsGreta Panova, Complexity and asymptotics of structure constantsJonathan Novak and Brendon Rhoades, Increasing subsequences and Kronecker coefficientsNathan Williams, Combinatorics and braid varietiesIsabella Novik and Hailun Zheng, Neighborly spheres and transversal numbersHugh Thomas, Realizing simplicial complexes as the boundary of the totally non-negative part of a varietySam Hopkins, Order polynomial product formulas and poset dynamicsThomas Lam, An invitation to positive geometriesSatoshi Murai, An upper bound problem for triangulations of manifoldsIgor Pak, What is a combinatorial interpretation?James Propp, Trimer covers in the triangular grid: Twenty mostly open problemsLaura Colmenarejo, Rosa Orellana, Franco Saliola, Anne Schilling and Mike Zabrocki, The mystery of plethysm coefficientsTri Lai, Problems in the enumeration of tilingsZhao Gao, Claudiu Raicu and Keller VandeBogert, Some questions arising from the study of cohomology on flag varietiesAlexander Yong, Castelnuovo-Mumford regularity and Schubert geometryRalf Schiffler, Perfect matching problems in cluster algebras and number theory