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Spectral Theory

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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
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- Free Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling

Explore polaron models at weak coupling, focusing on the absence of excited eigenvalues below the essential spectrum in Fröhlich-type systems at zero total momentum.
- YouTube
- 44 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Relative Oscillation Theory and Essential Spectra of Sturm-Liouville Operators

Explore relative oscillation theory for Sturm-Liouville operators, examining perturbation results and essential spectra invariance in terms of real coefficients p, q, and r.
- YouTube
- 36 minutes
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- Free Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
Improved Lieb-Thirring Type Inequalities for Non-Selfadjoint Schroedinger Operators

Explore improved Lieb-Thirring inequalities for complex-valued Schroedinger operators, focusing on eigenvalue analysis and sharpness in one-dimensional cases.
- YouTube
- 41 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
A New Approach to the Hot Spots Conjecture

Explore a novel approach to the hot spots conjecture in mathematics, focusing on eigenvalues of Neumann and Dirichlet Laplacians and recent advances in the field.
- YouTube
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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
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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
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- 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
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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
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
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.
- YouTube
- 1 hour 1 minute
- 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)
Microlocal Methods for Operators with Analytic Coefficients - Lecture 2

Explore advanced microlocal methods for operators with analytic coefficients in mathematical physics and spectral theory.
- YouTube
- 1 hour 5 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
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- 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
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- Free Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)
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.
- YouTube
- 1 hour 2 minutes
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- Free Video

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