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Harmonic Analysis and Several Complex Variables Seminar - Gabriel Antonio Coloma Irizarry

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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.

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Seminar - Harmonic Analysis and Several Complex Variables