Wednesday, November 28, 2018
11/28/2018 - 3:00pm
In this talk I will discuss various perspectives on how the theory of modular, or, more generally, automorphic forms enter in string theory. The first part of the talk will focus on so called moonshine phenomena, which refers to surprising connections between modular forms, finite groups and conformal field theory. In the second part of the talk I introduce automorphic forms on higher rank Lie groups, and explain the connection with representation theory which lies at the heart of the Langlands program. I will discuss applications to black holes and instantons in string theory.
11/28/2018 - 4:15pm
String theory is a rich source of automorphic forms for SL(2) and higher rank groups. I will review how these structures are visible in the scattering of string states and what role the Fourier expansions of the automorphic forms play for predicting physical phenomena. Particular emphasis will be put on so-called small representations of the higher rank groups, including Kac-Moody groups.