High Energy Theory Seminar: Cohomology/K-theory of Lie groups and matter representations

Mboyo Esole (Northeastern University)

It was recently observed that the matter representations in F-theory compactifications overwhelmingly correspond to characteristic representations of Dynkin embedding index one. I will explain how this can be understood from the cohomology, homotopy, and K-theory of Lie groups and how it connects to a simple requirement on the structure of Chern--Simons theories, Wess--Zumino terms, and instantons.