Open Problems in Algebraic Combinatorics

Christine Berkesch, University of Minnesota, Twin Cities, Minneapolis, MN, Benjamin Brubaker, University of Minnesota, Twin Cities, Minneapolis, MN, Gregg Musiker, University of Minnesota, Twin Cities, Minneapolis, MN, Pavlo Pylyavskyy, University of Minnesota, Twin Cities, Minneapolis, MN, and Victor Reiner, University of Minnesota, Twin Cities, Minneapolis, MN.

Articles Francois Bergeron, $(\operatorname {GL}_k \times \ \mathbb {S}_n)$-modules of multivariate diagonal harmonics Francesco Brenti, Some open problems on Coxeter groups and unimodality R. Kenyon, Some combinatorial problems arising in the dimer model Per Alexandersson and Valentin Feray, A positivity conjecture on the structure constants of shifted Jack functions Greta Panova, Complexity and asymptotics of structure constants Jonathan Novak and Brendon Rhoades, Increasing subsequences and Kronecker coefficients Nathan Williams, Combinatorics and braid varieties Isabella Novik and Hailun Zheng, Neighborly spheres and transversal numbers Hugh Thomas, Realizing simplicial complexes as the boundary of the totally non-negative part of a variety Sam Hopkins, Order polynomial product formulas and poset dynamics Thomas Lam, An invitation to positive geometries Satoshi Murai, An upper bound problem for triangulations of manifolds Igor Pak, What is a combinatorial interpretation? James Propp, Trimer covers in the triangular grid: Twenty mostly open problems Laura Colmenarejo, Rosa Orellana, Franco Saliola, Anne Schilling and Mike Zabrocki, The mystery of plethysm coefficients Tri Lai, Problems in the enumeration of tilings Zhao Gao, Claudiu Raicu and Keller VandeBogert, Some questions arising from the study of cohomology on flag varieties Alexander Yong, Castelnuovo-Mumford regularity and Schubert geometry Ralf Schiffler, Perfect matching problems in cluster algebras and number theory