Speaker
Veronica Fantini
Description
Motivated by resuming perturbative invariants of hyperbolic knots in 3-manifolds, we define an algorithm to construct exponential integrals whose asymptotic expansion recovers the original divergent series. In a nutshell, this amounts to defining a rapid decay homology for the dilogarithm. In this talk, I will explain the main ideas of our construction, which are based on a joint project with C. Wheeler (arXiv:2410.20973), and some ongoing work with J. E. Andersen and M. Kontsevich.
