{"product_id":"open-problems-in-algebraic-combinatorics-paperback-softback-9781470473334","title":"Open Problems in Algebraic Combinatorics (Paperback \/ softback) 9781470473334","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eOpen Problems in Algebraic Combinatorics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eChristine Berkesch (Edited by), Benjamin Brubaker (Edited by), Gregg Musiker (Edited by), Pavlo Pylyavskyy (Edited by), Victor Reiner (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781470473334\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 31 October 2024\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e371 pages\u003cbr\u003e25.4 x 17.8 x 2.3 cm, 0.678 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eIn 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.\u003cbr\u003e\u003cbr\u003eThe 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cul\u003e\n\u003cli\u003eArticles\u003c\/li\u003e\n\u003cli\u003eFrancois Bergeron, $(\\operatorname {GL}_k \\times \\ \\mathbb {S}_n)$-modules of multivariate diagonal harmonics\u003c\/li\u003e\n\u003cli\u003eFrancesco Brenti, Some open problems on Coxeter groups and unimodality\u003c\/li\u003e\n\u003cli\u003eR. Kenyon, Some combinatorial problems arising in the dimer model\u003c\/li\u003e\n\u003cli\u003ePer Alexandersson and Valentin Feray, A positivity conjecture on the structure constants of shifted Jack functions\u003c\/li\u003e\n\u003cli\u003eGreta Panova, Complexity and asymptotics of structure constants\u003c\/li\u003e\n\u003cli\u003eJonathan Novak and Brendon Rhoades, Increasing subsequences and Kronecker coefficients\u003c\/li\u003e\n\u003cli\u003eNathan Williams, Combinatorics and braid varieties\u003c\/li\u003e\n\u003cli\u003eIsabella Novik and Hailun Zheng, Neighborly spheres and transversal numbers\u003c\/li\u003e\n\u003cli\u003eHugh Thomas, Realizing simplicial complexes as the boundary of the totally non-negative part of a variety\u003c\/li\u003e\n\u003cli\u003eSam Hopkins, Order polynomial product formulas and poset dynamics\u003c\/li\u003e\n\u003cli\u003eThomas Lam, An invitation to positive geometries\u003c\/li\u003e\n\u003cli\u003eSatoshi Murai, An upper bound problem for triangulations of manifolds\u003c\/li\u003e\n\u003cli\u003eIgor Pak, What is a combinatorial interpretation?\u003c\/li\u003e\n\u003cli\u003eJames Propp, Trimer covers in the triangular grid: Twenty mostly open problems\u003c\/li\u003e\n\u003cli\u003eLaura Colmenarejo, Rosa Orellana, Franco Saliola, Anne Schilling and Mike Zabrocki, The mystery of plethysm coefficients\u003c\/li\u003e\n\u003cli\u003eTri Lai, Problems in the enumeration of tilings\u003c\/li\u003e\n\u003cli\u003eZhao Gao, Claudiu Raicu and Keller VandeBogert, Some questions arising from the study of cohomology on flag varieties\u003c\/li\u003e\n\u003cli\u003eAlexander Yong, Castelnuovo-Mumford regularity and Schubert geometry\u003c\/li\u003e\n\u003cli\u003eRalf Schiffler, Perfect matching problems in cluster algebras and number theory\u003c\/li\u003e\n\u003c\/ul\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003c\/font\u003e","brand":"American Mathematical Society","offers":[{"title":"Brand New","offer_id":52589078479128,"sku":"9781470473334","price":94.99,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/freshlyprintedbooks.co.uk\/products\/open-problems-in-algebraic-combinatorics-paperback-softback-9781470473334","provider":"Freshly Printed Books","version":"1.0","type":"link"}