Twisted (Co)homology of Matroids and Hyperplane Arrangement Complements

Explore an advanced mathematics seminar where Thomas Lam from the Institute for Advanced Study delves into the intricate world of twisted (co)homology for matroids and hyperplane arrangement complements. Learn about intersection pairings in both deRham and Betti (co)homology, originally investigated by Cho, Matsumoto, Kita, and Yoshida. Discover how these pairings exhibit matroidal properties and their representation through tropical formulas, while understanding their connection to Schechtman and Varchenko's work. Gain insights into the practical applications of these concepts in physics, particularly in scattering amplitudes, which bridges the gap between pure mathematics and fundamental physics.