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New Perspectives on Borel Summation - Lecture 4

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Complex Analysis Courses Asymptotic Analysis Courses Laplace Transform Courses Mathematical Physics Courses Borel Summation Courses

Course Description

Overview

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Explore new perspectives on Borel summation in this 51-minute lecture by Veronica Fantini at the Institut des Hautes Etudes Scientifiques (IHES). Delve into the thimble integral perspective, examining why Airy-Lucas functions can be obtained through Borel summation. Focus on concrete computations, learning how to explicitly rewrite Airy-Lucas integrals as Laplace transforms of hypergeometric functions. Discover how one Airy-Lucas function can contain information about another, reflecting the Stokes phenomenon in the Borel plane. Gain insights from this joint work with Aaron Fenyes, presented by Veronica Fantini from IHES.

Syllabus

Veronica Fantini - New perspectives on Borel summation – 4/4


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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