Symmetries of Rings from Hyperplane Arrangements

Explore a 45-minute lecture from Brown University's Sarah Brauner at IPAM's Computational Interactions between Algebra, Combinatorics, and Discrete Geometry Workshop, delving into the study of hyperplane arrangement symmetries and their cohomology rings. Discover methods for describing G-representations on the cohomology ring of hyperplane arrangement complements, examining both computational approaches and associated challenges. Learn about groundbreaking research conducted in collaboration with Megan Chang-Lee and Trevor Karn that investigates how group actions influence the structural properties of these mathematical objects. Gain insights into the intersection of algebra, combinatorics, and discrete geometry through this advanced mathematical exploration presented at UCLA's Institute for Pure & Applied Mathematics.