Microlocal Analysis Courses and Certifications

ICTP Mathematics

Black Hole Stability - Global and Microlocal Analysis Aspects

Explore global and microlocal analysis aspects of black hole stability with Stanford's Andras Vasy, delving into advanced mathematical concepts in geometry and gravity.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Orbit Method, Microlocal Analysis and Applications to L-Functions

Explore quantitative orbit method in microlocal analysis, its applications to representation theory, and implications for L-functions, including moment estimates and subconvex bounds.

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

IEEE Signal Processing Society

Advances in Wave Imaging and Microlocal Analysis - SPACE Webinar Series

Explore wave imaging techniques, from traditional approaches to new methods, with a focus on microlocal analysis, Fourier integral operators, and neural network architectures for improved imaging.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

BIMSA

The Orbit Method, Microlocal Analysis and Applications to L-Functions

Explore advanced mathematical techniques connecting orbit methods and microlocal analysis to understand L-functions in modern number theory.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory and Mathematical Relativity

Explore advanced spectral methods in general relativity, covering quantum field theory, black hole stability, and mathematical frameworks for spacetime analysis.

• YouTube
• 1 day 5 hours 56 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Tony Feng- A New Approach to Breuil-Mezard Cycles

Explore a novel local and group-theoretic approach to the Breuil-Mezard Conjecture, connecting it to quantum groups and homological mirror symmetry in algebraic number theory.

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

Centre de recherches mathématiques - CRM

Ruelle Zeta at Zero for Nearly Hyperbolic 3-Manifolds

Explorez la fonction zêta de Ruelle pour les variétés presque hyperboliques en 3D, en examinant ses propriétés spectrales et géométriques.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Casimir Energy as a Trace

Explore the Casimir effect's connection to spectral geometry and microlocal analysis. Learn to define Casimir energy as an operator trace and compute it using boundary layer operator determinants.

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

Centre International de Rencontres Mathématiques

Microlocal Methods for Anosov Flows - Part 1

Explore microlocal methods for Anosov flows through advanced mathematical concepts and techniques in this comprehensive lecture.

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

Centre International de Rencontres Mathématiques

Microlocal Methods for Anosov Flows - Part 2

Explore advanced microlocal techniques for analyzing Anosov flows in this in-depth mathematical lecture by Colin Guillarmou.

• YouTube
• 1 hour 1 minute
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

Microlocal Methods for Anosov Flows - Part 3

Explore advanced microlocal techniques for analyzing Anosov flows in this in-depth mathematical lecture by Colin Guillarmou.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Feynman Propagator and Self-Adjointness in Wave Operators - Lecture

Explore Feynman and anti-Feynman inverses for wave operators on Lorentzian manifolds, connecting to self-adjointness and positivity properties of wave operators.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nonlinear Stability of Kerr-de Sitter Spacetimes

Explore nonlinear stability of slowly-rotating Kerr-de Sitter black holes, focusing on a new proof using vectorfield method and bootstrap scheme to uncover high-frequency spectral gap.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Microlocal Methods for Operators with Analytic Coefficients - Lecture 4

Explore advanced microlocal methods for operators with analytic coefficients in this in-depth mathematical lecture by Maciej Zworski.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Classically Forbidden Regions and Analytic Hypoellipticity in Spectral Theory

Explore analytic microlocal methods in condensed matter physics, focusing on magic angles in graphene and eigenfunction decay. Discover insights from numerical simulations and potential research directions.

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