GAMP seminar by David McGady (NBIA/Discovery Center)

GAMP (Geometric Analysis and Mathematical Physics) Seminar.

Speaker: David McGady (NBIA/Discovery Center)

Title: Modular Forms on the Double Half-Plane

Abstract: We formulate a notion of modular form on the double half-plane for half-integral weights and explain its relationship to the usual notion of modular form. Our construction is compatible with special values of (regularized) L-functions for meromorphic modular forms and with certain physical considerations for conformal field theories on the two-torus.

This talk is heavily based on <https://arxiv.org/abs/1806.09875>.
The construction in this talk matches the special values of L-functions of meromorphic modular forms, which I developed in <https://arxiv.org/abs/1806.09874>.
Both of these mathematics papers were motivated by the physical considerations in <https://arxiv.org/abs/1711.07536>, <https://arxiv.org/abs/1806.09873>, and <https://arxiv.org/abs/1406.6329>.