Spectral Theory Courses and Certifications

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Inverse Spectral Theory for Strings and the Conservative Camassa-Holm Flow

Explore inverse spectral theory for generalized indefinite strings and its application to the conservative Camassa-Holm flow, focusing on characterizing spectral measures and Weyl-Titchmarsh functions.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory of Stationary Spacetimes - Lecture 4

Explore advanced concepts in spectral theory applied to stationary spacetimes, delving into mathematical relativity and its implications for understanding spacetime structures.

• YouTube
• 1 hour
• 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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory of Stationary Spacetimes - Lecture 3

Explore advanced concepts in spectral theory of stationary spacetimes, building on previous lectures in the series.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory of Stationary Spacetimes - Part II

Explore advanced concepts in spectral theory applied to stationary spacetimes, building on foundational knowledge in mathematical relativity and quantum mechanics.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory of Stationary Spacetimes - Part I

Explore spectral theory in stationary spacetimes, delving into mathematical concepts at the intersection of relativity and quantum mechanics.

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

Fields Institute

Spectral Theory

Delve into advanced mathematical concepts with experts Faust, Shipman, and Sottile as they explore fundamental aspects of spectral theory in this academic presentation.

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

CY Advanced Studies

Introduction to Spectral Theory - Day 2 Part 1

Dive into advanced spectral theory concepts with expert mathematicians Laurent Bruneau and Vojkan Jakšić in this comprehensive mathematical exploration.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

CY Advanced Studies

Introduction to Spectral Theory - Day 1 Part 2

Dive into spectral theory fundamentals with expert mathematicians Laurent Bruneau and Vojkan Jakšić in this advanced mathematical exploration at CY Cergy Paris Université.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

CY Advanced Studies

Introduction to Spectral Theory - Day 1 Part 1

Discover fundamental concepts of spectral theory through expert instruction from Laurent Bruneau and Vojkan Jakšić in this comprehensive mathematical introduction.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

From Gas Giant Planets to the Spectral Theory of Subelliptic Laplacians

Explore the mathematical analysis of sound wave propagation in gas giant planets, focusing on spectral theory, Riemannian geometry, and sub-Riemannian Laplacians in this advanced physics lecture.

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

Institute for Advanced Study

Ellipses of Small Eccentricity Are Determined by Their Dirichlet - Steven Morris Zelditch

Explore the spectral analysis of ellipses with small eccentricity, focusing on Dirichlet and Neumann spectra, caustic billiard tables, and periodic orbits in nearly circular domains.

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

Institute for Pure & Applied Mathematics (IPAM)

Maria Esteban - Spectral Results and Open Problems for Dirac-Coulomb Operators With Charge Distributions

Explore spectral results and open problems for Dirac-Coulomb operators with general charge distributions, focusing on self-adjoint extensions, eigenvalue characterizations, and electron stability conditions.

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

Hausdorff Center for Mathematics

Outliers in Sparse Wigner Matrices

Explore the impact of sparsity on extreme eigenvalues in Wigner matrices, including phase transitions and outlier emergence in the semi-circular law. Joint work with Konstantin Tikhomirov.

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