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

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January 21, 2025
4:30PM - 5:30PM
Math Tower (MW) 154

Date Range
2025-01-21 16:30:00 2025-01-21 17:30:00 Harmonic Analysis and Several Complex Variables Seminar - Gabriel Antonio Coloma Irizarry Gabriel Antonio Coloma IrizarryThe Ohio State UniversityTitleResurgence 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.For more information about the seminar  Math Tower (MW) 154 America/New_York public

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.

For more information about the seminar
 

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