Recorded 12 February 2025. Akiyoshi Tsuchiya of Toho University presents "Interactions between commutative algebra and graph coloring theory" at IPAM's Computational Interactions between Algebra, Combinatorics, and Discrete Geometry Workshop. Abstract: In this talk, we discuss connections between commutative algebra and graph coloring theory. Given a graph, one can define an algebraic object called the stable set ideal. The question of when this ideal is generated by quadratic binomials is linked to the classical graph-theoretical concept of Kempe equivalence. By using this result, we give an algebraic method to examine Kempe equivalence. Learn more online at: https://www.ipam.ucla.edu/programs/workshops/computational-interactions-between-algebra-combinatorics-and-discrete-geometry/