Tue, February 4, 2025
4:30 pm - 5:30 pm
Math Tower (MW) 154
Gabriel Antonio Coloma Irizarry
The Ohio State University
Title
Resurgence functions: the lost tomes.
Abstract
The first half of the 1980s marked the birth of resurgence analysis with Ecalle's monumental triple tomes Fonctions Resurgentes (with 6 planned total). The slow build of resurgence overtime, initially localized to complex dynamics and holomorphic invariants, is now felt deeply in vast corners of mathematical-physics and the theories of numbers & representations. In this talk, principally from the perspective of quantum resurgence we look at zero-range Hamiltonian interactions, and proceed from there to shine a light on buried themes of harmonic synthesis & alien representations with new homotopy conceptions of Borel plane.