Combinatorial Algebra meets Algebraic Combinatorics 2020
January 24, 2020 - January 26, 2020
Combinatorics Algebra meets Algebraic Combinatorics” (CAAC) is a series of annual workshops that has been meeting since 2004. The main achievement of these meetings is the establishment of an ongoing dialogue between two separate research groups who had previously been using di erent techniques to study similar mathematical problems. The two groups are algebraic combinatorialists working on the representation theory of symmetric groups, and commutative algebraists studying minimal free resolutions and inverse systems. Since the initial meeting, the focus of the conference has broadened to include other areas of overlap. These include, among others: (1) the representation theory of quivers (also known as directed graphs); (2) combinatorial Hopf Algebras, which refers to a Hopf algebraic structure related to (quasi)symmetric functions, permutations, trees, and other combinatorial objects; and (3) edge ideals of graphs and their algebraic invariants.