Combinatorial Algebra meets Algebraic Combinatorics 2023

Combinatorial algebra and algebraic combinatorics are two highly
active areas of research. Their importance is felt throughout
theoretical and applied mathematics, including algebraic geometry,
representation theory, commutative algebra, and mathematical physics;
they have found numerous practical applications in diverse fields.

The connections between these overlapping subjects are central to
the CAAC workshops’ traditional thematic goals. They were
emphasized in a series of expository lectures which were given by
Tony Geramita and Fran\c{c}ois Bergeron in January 2004 at
Queen’s University. Through these lectures, it became evident
that interesting special cases of Macaulay’s inverse systems, a
fundamental concept in commutative algebra, are essentially the
coinvariant spaces which arise in algebraic combinatorics. These
connections led to collaborative interdisciplinary research among
two historically disjoint communities of scholars.

The CAAC meeting has been held annually since 2004. It
focuses on the continually evolving interactions between combinatorial
algebra and algebraic combinatorics.