Kazhdan-Lusztig Theory and Singular Hodge Theory for Matroids I

Explore the fascinating parallel between Coxeter groups and matroids in this lecture by June Huh from Stanford University. Delve into the world of combinatorial cohomology theories, examining similarities between structures like symmetric and dihedral groups and various matroids such as graphs and point configurations. Gain insights into recent developments in singular Hodge theory for combinatorial geometries, based on collaborative research with Tom Braden, Jacob Matherne, Nick Proudfoot, and Botong Wang. Discover the intricate connections between these mathematical concepts and their applications in advanced algebraic and geometric studies.