New Perspectives on Borel Summation - Lecture 4

New Perspectives on Borel Summation - Lecture 4

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.