Asymptotic Analysis Courses and Certifications

Fields Institute

Surreal Numbers and Transseries - Lecture 1

Explore surreal numbers and transseries in this graduate-level lecture, delving into advanced mathematical concepts and their applications in asymptotic analysis.

• YouTube
• 1 hour 19 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Asymptotic Behaviour of Cosmologies with Lambda Major of 0

Explore the asymptotic behavior of cosmologies with positive cosmological constant, delving into advanced concepts in theoretical physics and cosmology.

• YouTube
• 1 hour 20 minutes
• Self-Paced
• Free Video

ICTP Mathematics

Phase-Field Models for Motion by Mean Curvature - Lecture 4

Explore advanced mathematical concepts in phase-field models and their application to motion by mean curvature, presented by a renowned expert from the University of Chicago.

• YouTube
• 1 hour 22 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Galileo Galilei Institute

Modular Resurgence for Integrated Correlators at Large N

Explore modular resurgence in integrated correlators at large N, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 1 hour 16 minutes
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• 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
• Self-Paced
• Free Video

Hausdorff Center for Mathematics

Dynamic Brittle Fracture as a Well-Posed Nonlocal Initial Value Problem

Explore a nonlocal model for dynamic brittle damage, examining its phases, evolution, and energy balance. Learn how this approach relates to Griffith fracture energy and Navier's equation for crack propagation.

• YouTube
• 50 minutes
• Self-Paced
• 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
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Wall-crossing and Resurgence in Supersymmetric QFT

Explore wall-crossing and resurgence in supersymmetric quantum field theory, uncovering their physical applications and implications in advanced theoretical physics.

• YouTube
• 1 hour 17 minutes
• Self-Paced
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Stability and Asymptotic Behavior of Fronts in Bidomain Models

Explore stability and asymptotic behavior of fronts in bidomain models with Hiroshi Matano's in-depth analysis and insights.

• YouTube
• 1 hour 3 minutes
• Self-Paced
• Free Video

NCCR SwissMAP

Asymptotics for Graph Complex Euler Characteristics

Explore asymptotics of graph complex Euler characteristics with M. Borinsky, delving into algebra, topology, and the Grothendieck-Teichmüller group.

• YouTube
• 54 minutes
• Self-Paced
• Free Video

IPhT-TV

Structure Constants in N = 4 SYM and Separation of Variables - 2022

Explore structure constants in N=4 SYM, focusing on three-point functions, integrability, and key ideas like asymptotic wrapping and one-loop expressions.

• YouTube
• 1 hour 5 minutes
• Self-Paced
• Free Video