Algebra Seminar: "Fun with Modular Forms: Moonshine and Black Holes" by Christoph Keller
Speaker: Christoph Keller, University of Arizona
The Fourier coefficients of modular objects have a long history of providing interesting mathematical insights. After a brief introduction to classical topics such as Eisenstein series, I will present two more modern developments. On the one hand I will discuss monstrous moonshine and its modern cousin, Mathieu moonshine. The key insight here is the relation of modular objects to vertex operator algebras. On the other hand I will discuss the relation of modular objects to the thermodynamics of black holes, and how the asymptotic growth of their Fourier coefficients is crucial for describing them.
Monday, October 14, 2019 at 3:30pm to 4:20pm