Please visit the official event page here: https://sites.google.com/view/caac2024/home . 

 

Combinatorial algebra and algebraic combinatorics are two important areas of mathematical research, investigating the role of discrete and combinatorial structures arising from problems in algebra, geometry and topology. Their importance is felt throughout pure and applied mathematics, including practical applications in algebraic statistics, computer vision, theoretical computer science, and optimization. For example in 2022, June Huh received a Fields Medal for his work in combinatorics and geometry.

 

Combinatorial Algebra Meets Algebraic Combinatorics (CAAC) is a two-day workshop that has been held annually since 2004, bringing together researchers working at the intersection of combinatorics and algebra. CAAC grew out of the realisation that the combinatorics and algebra groups at LACIM (UQAM), York University and Queen’s University were studying many of the same objects from different perspectives. Presenters at CAAC discuss the role of combinatorial structures, such as permutations, matroids and polytopes, arising from problems in Schubert calculus, commutative algebra, and other branches of algebra, representation theory and geometry. Two common themes include the calculation of enumerative, homological and structure constants of algebraic and geometric objects, and the study of combinatorially-constructed algebras, ideals and spaces.

 

CAAC seeks to develop new research collaborations and interactions between mathematicians at all career levels within these topics. To that end, this year’s diverse slate of invited speakers (described below) have been chosen because they have reputations for giving high-quality research talks, and because their research programs are of ongoing and interdisciplinary interest across both combinatorics and algebra. The speakers’ research includes such topics of interest as Gröbner bases, positroid varieties, diagrammatic algebras, cluster algebras, Schubert calculus, symmetric and quasisymmetric functions, and quivers.

 

In addition to the four invited speakers, the conference will include contributed talks, software demonstrations and a poster session. These activities, as well as breaks intended for informal conversation, are designed to foster interaction and collaboration between participants.