Borel Summation Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

New Perspectives on Borel Summation - Lecture 4

Explore Airy-Lucas functions through Borel summation, focusing on thimble integrals and hypergeometric Laplace transforms. Gain insights into Stokes phenomenon reflections in the Borel plane.

• YouTube
• 51 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

New Perspectives on Borel Summation - Lecture 1

Explore new perspectives on Borel summation, focusing on linear ODEs and integrals over Lefschetz thimbles, to understand when divergent series solutions produce holomorphic solutions.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

New Perspectives on Borel Summation - Lecture 3

Explore new perspectives on Borel summation through Airy-Lucas functions, examining their properties, linear ODEs, and thimble integral expressions. Gain insights from both ODE and integral equation approaches.

• YouTube
• 59 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Perverse Sheaves and Resurgence in Borel Summation

Explore the connection between resurgence theory and perverse sheaves, focusing on Borel summation, Stokes phenomena, and alien derivatives in algebraic structures.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Resurgence Theory - Generalised Borel-Laplace Summation, "Alien Calculus" by David Sauzin

Explore advanced mathematical concepts in Resurgence Theory, including Borel-Laplace summation and "alien calculus," with applications in physics and dynamical systems.

• YouTube
• 1 hour 42 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Introduction to Resurgence, Trans-Series and Non-Perturbative Physics II by Gerald Dunne

Explore advanced concepts in quantum field theory, including resurgence, trans-series, and non-perturbative methods. Gain insights into connecting perturbative and non-perturbative physics across various areas.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Unique Continuation Through Natural Boundaries Using Resurgence

Explore unique continuation through natural boundaries using resurgence, delving into advanced mathematical concepts and techniques for analyzing complex functions and their behavior.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

An Introduction to Resurgence Theory - Lecture 3

Explore advanced mathematical concepts in resurgence theory, delving into complex analysis and asymptotic expansions for a deeper understanding of analytical functions.

• YouTube
• 1 hour 37 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

An Introduction to Resurgence Theory - Lecture 2

Explore advanced mathematical concepts in resurgence theory, delving into complex analysis and asymptotic expansions for a deeper understanding of analytical functions.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

An Introduction to Resurgence Theory - Lecture 1

Explore resurgence theory's foundations, applications, and mathematical techniques in this comprehensive introduction by Ines Aniceto.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

NCCR SwissMAP

On the Uses and Applications of Resurgence to String Theory

Explore resurgence theory's applications in string theory, focusing on quantization of moduli spaces from diverse perspectives.

• YouTube
• 2 hours 11 minutes
• On-Demand
• Free Video

BIMSA

Resurgence, Geometry and Physics - A Unified Framework

Explore how resurgence theory unifies geometric and physical frameworks through advanced mathematical connections and applications.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Classical and New Perspectives on Resurgence Theory

Explore classical and modern approaches to resurgence theory, gaining insights into its mathematical foundations and recent developments.

• YouTube
• 50 minutes
• On-Demand
• Free Video

IPhT-TV

Resurgence - Lecture 2

Explore advanced concepts in resurgence theory, focusing on applications and recent developments in mathematical physics and quantum mechanics.

• YouTube
• 2 hours 1 minute
• On-Demand
• Free Video

IPhT-TV

Resurgence in Quantum Theory - Lecture 1

Explore resurgence theory in mathematics with Paolo Gregori's comprehensive lecture, covering fundamental concepts and applications in mathematical physics.

• YouTube
• 1 hour 44 minutes
• On-Demand
• Free Video