Topology seminar by Karim Adiprasito

Topology Seminar by Karim Adiprasito (Hebrew University of Jerusalem)

Title: Combinatorial Hodge theory    

Abstract: I will discuss how Hodge theory, and positivity phenomena from algebraic geometry in general, can be used to resolve fundamental conjectures in combinatorics, including Rotas conjecture for log-concavity of Whitney numbers and beyond. I will also discuss how combinatorics can in turn be used to explain and prove such phenomena, such as the Hodge-Riemann relations for matroids.