Organized by Daniel Persson, Terry Gannon, David Ginzburg, Axel Kleinschmidt, Stephen D. Miller, Boris Pioline
The purpose of this interdisciplinary program is to investigate connections between string theory, automorphic forms, mock modular forms and beyond. Automorphic representations form a cornerstone of the Langlands program, while at the same time playing a crucial role in understanding the structure of scattering amplitudes in string theory. Mock modular forms appear ubiquitously in studying quantum black holes and new moonshine phenomena. Investigations of string amplitudes have also given rise to new objects called “modular graph functions” whose mathematical structure is only beginning to emerge.
Higher-curvature corrections in string theory satify unconventional (‘Poisson-type’) differential equations that call for a generalization of the notion of automorphic form that goes beyond the current mathematical framework. The program will be dedicated to the exchange of idea and perspectives in these diverese fields, with the aim of breaking new ground in both physics and mathematics. This is a follow-up to the program “Automorphic forms, mock modular forms and string theory”, which ran in the fall of 2016.