Borel Summation Courses and Certifications

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

Institut des Hautes Etudes Scientifiques (IHES)

New Perspectives on Borel Summation - Lecture 3

Explora las funciones Airy-Lucas, generalizaciones de la ecuación de Airy, mediante ecuaciones diferenciales lineales y integrales de thimble, enfocándose en su obtención por suma de Borel.

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

Institut des Hautes Etudes Scientifiques (IHES)

New Perspectives on Borel Summation - Lecture 4

Explore Airy-Lucas functions through Borel summation, thimble integrals, and hypergeometric functions. Gain insights into Stokes phenomenon and its reflection 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 Lefschetz thimble integrals. Discover when divergent series solutions yield holomorphic solutions through Borel summation.

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

NCCR SwissMAP

On the Uses and Applications of Resurgence to String Theory

Explora las aplicaciones de la resurgencia en la teoría de cuerdas, examinando la cuantización de espacios de módulos desde diversas perspectivas.

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

Institut des Hautes Etudes Scientifiques (IHES)

Perverse Sheaves and Resurgence in Borel Summation

Exploración de la teoría de resurgencia mediante haces perversos y álgebras de convolución, con aplicaciones a series asintóticas y fenómenos de Stokes.

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

Institut des Hautes Etudes Scientifiques (IHES)

Classical and New Perspectives on Resurgence Theory

Explorez les perspectives classiques et nouvelles de la théorie de la résurgence, offrant un aperçu approfondi des développements récents dans ce domaine mathématique fascinant.

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

IPhT-TV

Resurgence - Lecture 2

Exploración detallada de la teoría de resurgencia en física matemática, continuando el análisis de conceptos avanzados y aplicaciones en el campo.

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

IPhT-TV

Resurgence in Quantum Theory - Lecture 1

Explore resurgence theory in mathematics, focusing on its applications and fundamental concepts. Gain insights into this advanced topic through expert explanations and examples.

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