Resurgence Theory Courses and Certifications

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

Institut des Hautes Etudes Scientifiques (IHES)

Resurgence in Integrable Field Theories - Lecture 3

Exploración de propiedades resurgentes en teorías de campo integrables bidimensionales, analizando expansiones 1/N, singularidades de renormalón y técnicas de ansatz de Bethe termodinámico.

• YouTube
• 2 hours 18 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Resurgence in Integrable Field Theories - Part 2

Explora el resurgimiento en teorías de campo integrables bidimensionales, abordando la resummación de Borel, el comportamiento de orden grande y la interacción entre propiedades resurgentes y expansión 1/N.

• YouTube
• 2 hours 10 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Resurgence in Integrable Field Theories - Lecture 1

Explora el resurgimiento en teorías de campo integrables bidimensionales, abordando resummaciones de Borel, expansiones 1/N y técnicas de ansatz termodinámico de Bethe para calcular la energía libre.

• YouTube
• 2 hours 29 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Resurgence via Wall-crossing Structures - Lecture 4

Explore alternative approach to Borel-Écalle resummation using analytic wall-crossing structures. Covers holomorphic bundles, gauge transformations, and applications to exponential integrals and quantum dilogarithm.

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

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Resurgence via Wall-crossing Structures - Lecture 3

Explore an alternative approach to Borel-Écalle resummation using analytic wall-crossing structures. Learn about holomorphic bundles, gauge transformations, and applications to exponential integrals and quantum dilogarithms.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Topological Recursion, Painlevé Equation, Exact WKB and Resurgence

Explore connections between topological recursion, WKB method, Painlevé equations, and resurgence theory. Discover how cluster transformations relate to non-linear Stokes phenomena in Painlevé transcendents.

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

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Resurgence via Wall-crossing Structures - Lecture 2

Explore an alternative approach to Borel-Écalle resummation using analytic wall-crossing structures. Learn about holomorphic bundles, gauge transformations, and applications to exponential integrals and quantum dilogarithms.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Resurgence via Wall-crossing Structures - Lecture 1

Explore an alternative approach to Borel-Écalle resummation using analytic wall-crossing structures. Learn about holomorphic bundles, gauge transformations, and applications to exponential integrals and quantum dilogarithms.

• YouTube
• 1 hour 15 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Resurgence and Quantum Modularity

Explore improved analytic properties of q-difference equations, conjectural Stokes constant formulae, and quantum modular forms in relation to knot invariants and resurgence theory.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Modularity and Resurgence in Calabi-Yau Compactifications

Explore modularity and resurgence in Calabi-Yau compactifications, delving into advanced concepts in theoretical physics and mathematics.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Computing Stokes Constants with Quantum Modularity

Explore quantum modularity's role in computing Stokes constants, delving into advanced mathematical concepts and their applications in theoretical physics.

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

Galileo Galilei Institute

Exact Instanton Transseries for Quantum Mechanics

Explore exact instanton transseries in quantum mechanics, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 1 hour 6 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

Resonant Resurgence and Quasi-Modularity from Quantum Field Theory

Explore resonant resurgence and quasi-modularity in quantum field theory with expert David Broadhurst in this advanced physics lecture.

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