Open problems in algebraic combinatorics / Christine Berkesch, Benjamin Brubaker, Gregg Musiker, Pavlo Pylyavskyy, Victor Reiner, editors.

Format:

Book

Conference/Event

Contributor:

Berkesch, Christine, 1982- Editor.

Brubaker, Ben, 1976- Editor.

Musiker, Gregg, Editor.

Pylyavskyy, Pavlo, 1982- Editor.

Reiner, Victor, 1965- Editor.

University of Minnesota, Host institution.

Conference Name:

Open Problems in Algebraic Combinatorics Conference (2022 : Minneapolis, Minn.)

Series:

Proceedings of symposia in pure mathematics ; v. 110.

Proceedings of symposia in pure mathematics, 0082-0717 ; volume 110

Language:

English

Subjects (All):

Combinatorial analysis--Congresses.

Combinatorial analysis.

Genre:

proceedings (reports)

Conference papers and proceedings.

Physical Description:

vii, 371 pages : illustrations ; 26 cm.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2024]

Summary:

"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... 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" -- Back cover.

Contents:

(GLk x Sn)-modules of multivariate diagonal harmonics / François Bergeron

Some open problems on Coxeter groups and unimodality / Francesco Brenti

Some combinatorial problems arising in the dimer model / Richard Kenyon

A positivity conjecture on the structure constants of shifted Jack functions / Per Alexandersson and Valentin Feray

Complexity and asymptotics of structure constants / Greta Panova

Increasing subsequences and Kronecker coefficients / Jonathan Novak and Brendon Rhoades

Combinatorics and braid varieties / Nathan Williams

Neighborly spheres and transversal numbers / Isabella Novik and Hailun Zheng

Realizing simplicial complexes as the boundary of the totally non-negative part of a variety / Hugh Thomas

Order polynomial product formulas and poset dynamics / Sam Hopkins

An invitation to positive geometries / Thomas Lam

An upper bound problem for triangulations of manifolds / Satoshi Murai

What is a combinatorial interpretation? / Igor Pak

Trimer covers in the triangular grid: Twenty mostly open problems / James Propp

The mystery of plethysm coefficients / Laura Colmenarejo, Rosa Orellana, Franco Saliola, Anne Schilling and Mike Zabrocki

Problems in the enumeration of tilings / Tri Lai

Some questions arising from the study of cohomology on flag varieties / Zhao Gao, Claudiu Raicu and Keller VandeBogert

Castelnuovo-Mumford regularity and Schubert geometry / Alexander Yong

Perfect matching problems in cluster algebras and number theory / Ralph Schiffler.

Notes:

"Conference, Open Problems in Algebraic Combinatorics, May 16-22, 2022, University of Minnesota, Twin Cities, Minneapolis, Minnesota."

Includes bibliographical references.

Other Format:

Online version: Open Problems in Algebraic Combinatorics Conference (2022 : Minneapolis, Minn.). Open Problems in Algebraic Combinatorics.

ISBN:

9781470473334

147047333X

OCLC:

1429723949