Regularized integrals on Riemann surfaces and correlations functions in 2d chiral CFTs

2022-04-05 09:30 - 10:30

CMSA-Algebraic-Geometry-in-String-Theory-04.05.2022

Abstract: I will report a recent approach of regularizing divergent integrals on configuration spaces of Riemann surfaces, introduced by Si Li and myself in arXiv:2008.07503, with an emphasis on genus one cases where modular forms arise naturally. I will then talk about some applications in studying correlation functions in 2d chiral CFTs, holomorphic anomaly equations, etc. If time permits, I will also mention a more algebraic formulation of this notion of regularized integrals in terms of mixed Hodge structures.

The talk is partially based on joint works with Si Li.