Zonotopal Algebras and Configuration Spaces in Three-Sphere Geometry

Explore a mathematical lecture that delves into configuration spaces of points in the three-sphere S3 and their relationship to zonotopal algebras. Learn about the cohomology ring with rational coefficients and its isomorphic connection to internal zonotopal algebra, a combinatorially defined ring studied by Holtz, Ron, Ardila, and Postnikov. Discover how zonotopal algebras are used to prove a 2016 conjecture by Moseley, Proudfoot, and Young regarding configuration space cohomology. Examine a formula for the equivariant K-polynomial of matroid Schubert varieties with finite symmetry groups, presented through collaborative research with Galen Dorpalen-Barry, André Henriques, and Nicholas Proudfoot.