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.
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.
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.
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.
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.
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.
Microlocal Methods for Operators with Analytic Coefficients - Lecture 3
Explore advanced microlocal methods for operators with analytic coefficients in this in-depth mathematical analysis lecture by Maciej Zworski.
Microlocal Methods for Operators with Analytic Coefficients - Lecture 2
Explore advanced microlocal methods for operators with analytic coefficients in mathematical physics and spectral theory.
Microlocal Methods for Operators with Analytic Coefficients - Lecture 1
Explore microlocal methods for operators with analytic coefficients in this advanced mathematics lecture by Maciej Zworski.
Microlocal Methods for Anosov Flows - Part 1
Explore microlocal methods for Anosov flows through advanced mathematical concepts and techniques in this comprehensive lecture.
Microlocal Methods for Anosov Flows - Part 2
Explore advanced microlocal techniques for analyzing Anosov flows in this in-depth mathematical lecture by Colin Guillarmou.
Microlocal Methods for Anosov Flows - Part 3
Explore advanced microlocal techniques for analyzing Anosov flows in this in-depth mathematical lecture by Colin Guillarmou.
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.
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.
Uniform Observable Error Bounds for Trotter Formulae in Semiclassical Regime
Delve into advanced quantum computation theory exploring uniform observable error bounds for Trotter formulae in semiclassical regimes, focusing on simulation efficiency and multiscale properties.
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.
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.