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#Spectral Theory

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Centre de recherches mathématiques - CRM

A Panorama of Singular Sub-Laplacians and Their Spectra

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Explore exotic properties of Laplace-Beltrami operators on rank-varying sub-Riemannian structures. Delve into self-adjointness, spectral properties, and sub-Riemannian Weyl laws. Discover open questions in this fascinating field.
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1 Lesons
59 minutes
On-Demand
Free-Video
University of Chicago Department of Mathematics

The Landscape Law and Wave Localization

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Explore the landscape function's role in predicting wave localization patterns and eigenfunction behavior in complex systems with Svitlana Mayboroda's mathematical insights.
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1 Lesons
1 hour
On-Demand
Free-Video
University of Chicago Department of Mathematics

Semiclassical Measures for Laplacian Eigenfunctions and Quantum Cat Maps

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Dive into semiclassical measures for Laplacian eigenfunctions and quantum cat maps, exploring quantum chaos and high-energy limit behavior in mathematics.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Fields Institute

Zigzag Strategy for Random Matrices

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Dive into the zigzag strategy for random matrices, exploring advanced probability concepts and their applications in matrix theory.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
The Bright Side of Mathematics

Functional Analysis

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Comprehensive exploration of functional analysis, covering metric spaces, Banach spaces, Hilbert spaces, operators, and spectral theory, with detailed examples and key theorems.
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32 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Institute for Advanced Study

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

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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.
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20 Lesons
1 hour 15 minutes
On-Demand
Free-Video
BIMSA

Mathematics Around Integrable Hierarchies

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Explore integrable hierarchies in mathematical physics with Professor Takashi Takebe, delving into advanced concepts and their applications.
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1 Lesons
45 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Spectral Properties of Levy Fokker-Planck Equations

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Explore spectral properties of Levy Fokker-Planck equations in this mathematical conference talk by Maria del Mar González at CIRM.
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1 Lesons
44 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 2

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Explore advanced concepts in subconvexity of L-functions through an in-depth mathematical lecture by Philippe Michel, expanding on previous discussions.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Mahindra Humanities Center

What Returns, What Remains - Hawaiian Landscape and Dis/Possession

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Exploring Hawaiian ancestral remains repatriation, challenging settler colonial structures, and examining connections between land, spirit, and haunting through Indigenous perspectives and the concept of hoʻopahulu.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 1

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Delve into spectral analysis of random graphs, exploring adjacency operators, Laplacian matrices, and Benjamini-Schramm topology. Examine convergence properties and quantum percolation in graph theory.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 4

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Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology through rigorous mathematical frameworks and quantum percolation theory.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 2

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Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology with focus on spectral measures and quantum percolation theory.
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1 Lesons
2 hours
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 5

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Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology through rigorous mathematical frameworks and quantum percolation theory.
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1 Lesons
2 hours 9 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Spectrum of Random Graphs - Lecture 3

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Delve into advanced spectral analysis of random graphs, exploring adjacency operators, Laplacian operators, and Benjamini-Schramm topology with focus on convergence properties and quantum percolation.
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1 Lesons
1 hour 56 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

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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.
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21 Lesons
49 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Outliers in Sparse Wigner Matrices

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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.
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9 Lesons
41 minutes
On-Demand
Free-Video
ICTP Mathematics

Dynamics of Smooth Surface Diffeomorphisms - Spectral Gap and Stochastic Properties

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Explore surface diffeomorphisms, spectral gaps, and stochastic properties in smooth dynamics. Gain insights into symbolic models, entropy continuity, and hyperbolic systems.
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22 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Fields Institute

Spectral Theory of Regular Sequences

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Explore spectral theory of regular sequences, focusing on integer sequences, ghost measures, and dilation equations. Gain insights into Stern's and Zaremba's sequences and their applications.
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16 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Convergence of Scattering Data and Non-Linear Fourier Transform - Part 1

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Explore canonical systems, spectral problems, and Hilbert spaces of entire functions in this advanced mathematical analysis lecture on scattering data and non-linear Fourier transform.
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10 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Operators on Function Spaces - Part 2

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Explore advanced concepts in function spaces, including multiplication operators, Toeplitz operators, and the unilateral shift, with applications in complex analysis and operator theory.
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20 Lesons
51 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Operators on Function Spaces - Part 1

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Explore operators on function spaces, focusing on the Volterra operator's properties, spectrum, and related concepts in functional analysis.
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18 Lesons
54 minutes
On-Demand
Free-Video
ICTP Mathematics

Marked Length Spectral Rigidity for Flat Metrics - C. Leininger

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Explore marked length spectral rigidity in flat metrics with C. Leininger, delving into advanced mathematical concepts and their applications in geometry and topology.
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1 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Infinitesimal Operators - Part II

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Explore advanced concepts in operator algebra with James Mingo's in-depth lecture on infinitesimal operators, building upon previous discussions in this specialized seminar series.
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1 Lesons
1 hour
On-Demand
Free-Video
ICTP Mathematics

Composition Semigroups on Analytic Spaces of the Upper Half Plane

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Explore continuous semigroups of composition operators on analytic spaces, examining generators, spectra, and resolvents. Gain insights into norm and spectral properties of integral operators.
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1 Lesons
30 minutes
On-Demand
Free-Video
Fields Institute

From Rings of Operators to Noncommutative Geometry - Lecture 1

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Explore the evolution from rings of operators to noncommutative geometry with renowned mathematician Alain Connes in this insightful Fields Institute lecture.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Fields Institute

From Rings of Operators to Noncommutative Geometry - Lecture 2

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Explore the evolution from operator rings to noncommutative geometry with renowned mathematician Alain Connes, delving into advanced concepts in operator algebras and their applications.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

From Rings of Operators to Noncommutative Geometry - Lecture 3

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Explore the evolution from operator rings to noncommutative geometry with renowned mathematician Alain Connes, delving into advanced concepts in operator algebras and their applications.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Algebraic Geometry in the Spectral Theory of Discrete Periodic Operators

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Explore the intersection of algebraic geometry and spectral theory, focusing on discrete periodic operators and their applications in mathematical physics and analysis.
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1 Lesons
47 minutes
On-Demand
Free-Video
Institute for Pure & Applied Mathematics (IPAM)

Scaling Exponents in Stationary Random Graphs

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Explore scaling exponents in stationary random graphs, examining relationships between fractal dimension, walk dimension, resistance, spectral dimension, and extremal growth in statistical physics.
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1 Lesons
55 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

On Non-Commensurable Isospectral Locally Symmetric Spaces by C.S. Rajan

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Explore non-commensurable isospectral locally symmetric spaces with C.S. Rajan. Delve into advanced mathematical concepts and their applications in geometry and number theory.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Fields Institute

Prime and Semiprime Ideals in C*-Algebras

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Explore prime and semiprime ideals in C*-algebras, delving into advanced concepts in operator theory and functional analysis.
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1 Lesons
51 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Korteweg-de Vries Hierarchy in Rough Function Spaces

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Explore the Korteweg-de Vries hierarchy in rough function spaces, focusing on wellposedness and the Miura map's role in translating to the Gardner hierarchy.
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1 Lesons
51 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Stationary Random Subgroups and Injectivity Radius of Hyperbolic Manifolds

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Explore probabilistic methods in geometric problems, focusing on injectivity radius in hyperbolic manifolds and stationary actions of groups with large stabilizers.
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1 Lesons
40 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

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

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Explore Feynman and anti-Feynman inverses for wave operators on Lorentzian manifolds, connecting to self-adjointness and positivity properties of wave operators.
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1 Lesons
54 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Microlocal Methods for Operators with Analytic Coefficients - Lecture 4

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Explore advanced microlocal methods for operators with analytic coefficients in this in-depth mathematical lecture by Maciej Zworski.
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1 Lesons
58 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory of Stationary Spacetimes - Lecture 4

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Explore advanced concepts in spectral theory applied to stationary spacetimes, delving into mathematical relativity and its implications for understanding spacetime structures.
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1 Lesons
1 hour
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Classically Forbidden Regions and Analytic Hypoellipticity in Spectral Theory

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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.
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1 Lesons
1 hour
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Microlocal Methods for Operators with Analytic Coefficients - Lecture 3

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Explore advanced microlocal methods for operators with analytic coefficients in this in-depth mathematical analysis lecture by Maciej Zworski.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory of Stationary Spacetimes - Lecture 3

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Explore advanced concepts in spectral theory of stationary spacetimes, building on previous lectures in the series.
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1 Lesons
55 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Microlocal Methods for Operators with Analytic Coefficients - Lecture 2

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

Spectral Theory of Stationary Spacetimes - Part II

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Explore advanced concepts in spectral theory applied to stationary spacetimes, building on foundational knowledge in mathematical relativity and quantum mechanics.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Spectral Theory of Stationary Spacetimes - Part I

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Explore spectral theory in stationary spacetimes, delving into mathematical concepts at the intersection of relativity and quantum mechanics.
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1 Lesons
59 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Microlocal Methods for Operators with Analytic Coefficients - Lecture 1

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Explore microlocal methods for operators with analytic coefficients in this advanced mathematics lecture by Maciej Zworski.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Initial Data Rigidity via Dirac-Witten Operators

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Explore initial data rigidity in spin settings using Dirac-Witten operators. Derive a rigidity theorem for manifolds with boundary, examining dominant energy conditions and null expansion scalars.
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1 Lesons
54 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Computing Nodal Deficiency with a Refined Spectral Flow

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Explore connections between Dirichlet-to-Neumann map, spectral flow, and nodal deficiency in Laplacian eigenfunctions. Discover improved bounds and applications to spectral minimal partitions.
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1 Lesons
44 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Spectrum of Self-Adjoint Extensions Associated with Exceptional Laguerre Differential Expressions

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Explore self-adjoint extensions of exceptional Laguerre-type differential expressions using boundary triples, Darboux transformations, and Maya diagrams to derive Weyl-Titchmarsh m-functions.
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1 Lesons
27 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Schrödinger Operators with Delta-Potentials on Unbounded Lipschitz Surfaces

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Explore Schrödinger operators with delta-potentials on unbounded Lipschitz surfaces, focusing on ground state uniqueness, essential spectrum, and Birman-Schwinger principle applications.
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7 Lesons
27 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Continuum Limits for Discrete Dirac Operators on 2D Square Lattices

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Explore continuum limits of discrete Dirac operators on 2D square lattices, focusing on convergence in strong resolvent sense and implications for complex analysis and quantum theory.
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1 Lesons
41 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Geometrically Induced Discrete Eigenvalues of Dirac Operators with Lorentz Scalar Delta-Shell Interactions

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Explore geometrically induced discrete eigenvalues of Dirac operators with Lorentz scalar δ-shell interactions on broken lines, revealing novel spectral properties in quantum theory.
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1 Lesons
29 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Schrödinger Operators with Oblique Transmission Conditions in R2

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Explore Schrödinger operators with oblique transmission conditions, examining self-adjointness, spectral properties, and connections to Dirac operators with delta-potentials in quantum theory.
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1 Lesons
29 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Some Recent Developments in Generalised Norm Resolvent Convergence

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Explore recent developments in generalised norm resolvent convergence, focusing on operators in different Hilbert spaces with illustrative examples.
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1 Lesons
25 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On the Class of Canonical Systems Corresponding to Matrix String Equations

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Explore canonical systems with 2p×2p Hamiltonians, solving direct and inverse problems using Titchmarsh-Weyl functions and S-nodes. Learn construction procedures and high energy asymptotics of Weyl functions.
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1 Lesons
23 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

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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.
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1 Lesons
36 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Absence of Excited Eigenvalues for Fröhlich Type Polaron Models at Weak Coupling

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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.
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1 Lesons
44 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Relative Oscillation Theory and Essential Spectra of Sturm-Liouville Operators

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Explore relative oscillation theory for Sturm-Liouville operators, examining perturbation results and essential spectra invariance in terms of real coefficients p, q, and r.
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1 Lesons
36 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Improved Lieb-Thirring Type Inequalities for Non-Selfadjoint Schroedinger Operators

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Explore improved Lieb-Thirring inequalities for complex-valued Schroedinger operators, focusing on eigenvalue analysis and sharpness in one-dimensional cases.
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1 Lesons
41 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A New Approach to the Hot Spots Conjecture

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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.
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1 Lesons
28 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Extreme Value Theory and Poisson Statistics for Stochastic Differential Equations

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Explore extreme event distributions in stochastic processes using transfer operators and spectral analysis techniques for Stochastic Differential Equations.
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1 Lesons
49 minutes
On-Demand
Free-Video
Galileo Galilei Institute

A Summary of Methods for Solving Differential Equations Involving Automorphic Forms

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Explore advanced techniques for solving differential equations with automorphic forms, enhancing mathematical problem-solving skills in complex analysis and number theory.
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1 Lesons
1 hour
On-Demand
Free-Video
Galileo Galilei Institute

Introduction to Non-Commutative Geometry - Lecture 2

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Explore non-commutative geometry concepts and applications in this advanced mathematics lecture, building on foundational principles to deepen understanding of complex algebraic structures.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Institute for Mathematical Sciences

Dynamical Spectral Transition for Optimization in Very High Dimensions

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Explore dynamical spectral transitions in high-dimensional optimization, examining mathematical concepts and their applications in complex systems and data analysis.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 3

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Explore advanced concepts in subconvexity of L-functions with mathematician Paul Nelson in this in-depth conference talk from the "Building bridges 6th EU/US" meeting.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 1

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Explore advanced concepts in analytic number theory, focusing on subconvexity bounds for L-functions and their applications in mathematics.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Subconvexity of L-functions - Part 4

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Explore advanced concepts in subconvexity of L-functions with mathematician Paul Nelson in this in-depth conference talk from the "Building bridges 6th EU/US" meeting.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Topological Aspects of Discrete Spectrum

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Explore topological aspects of discrete spectrum in symbolic dynamics and quasicrystals through Felipe Garcia-Ramos' insightful conference talk.
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1 Lesons
53 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Counting Non-Tempered Automorphic Forms Using Endoscopy

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Explore advanced concepts in automorphic forms and endoscopy, focusing on counting non-tempered forms and their mathematical implications.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

H-Infinity Calculus and Square Functions on Banach Spaces

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Explore $H^{\infty}$-calculus and square functions on Banach spaces in this advanced mathematical conference talk, delving into harmonic analysis techniques for elliptic operators.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Isaac Newton Institute for Mathematical Sciences

Disordered Systems and Related Spectra - Rothschild Lecture

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Explore disordered systems and spectral theory, focusing on Schrodinger operators with random potential and large random matrices.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video
NCCR SwissMAP

Factorization of the Calderón Problem Through the Born Approximation

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Explore analytic techniques in dynamics and geometry, focusing on the Calderón problem and its factorization through the Born approximation.
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21 Lesons
58 minutes
On-Demand
Free-Video
NCCR SwissMAP

Ruelle Taylor Resonances for Higher Rank Anosov Actions

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Explore analytic techniques in dynamics and geometry, focusing on Ruelle Taylor resonances for higher rank Anosov actions.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
NCCR SwissMAP

Zeta Functions for Anosov Diffeomorphisms, Flows and Actions

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Explore analytic techniques in dynamics and geometry, focusing on zeta functions for Anosov diffeomorphisms, flows, and actions.
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1 Lesons
56 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Properties of Eigenvalues

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Explore key properties of eigenvalues in linear algebra, enhancing understanding of matrix transformations and their applications in various fields.
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1 Lesons
12 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Spectral Mapping Theorem for Normal Operators - Continuous Functions

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Explore the spectral mapping theorem for normal operators and its applications to continuous functions in operator theory.
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1 Lesons
19 minutes
On-Demand
Free-Video
Institute for Advanced Study

Arithmetic Quantum Unique Ergodicity for Hyperbolic Manifolds

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Explore quantum unique ergodicity in hyperbolic manifolds, focusing on arithmetic aspects and their implications in mathematical physics and number theory.
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1 Lesons
21 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Spectral Perturbation Formulae for Quenched Random Dynamics with Applications - Lecture

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Explore spectral perturbation formulae for quenched random dynamics and their applications in this mathematical conference talk by Gary Froyland.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Random Walks on Groups - Part 2

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Explore advanced concepts of random walks on groups, focusing on mathematical dynamics and probabilistic methods in group theory.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
NCCR SwissMAP

Topological Recursion and Quantum Curves

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Explore quantisation of moduli spaces through topological recursion and quantum curves with expert B. Eynard from IPHT CEA Saclay.
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1 Lesons
2 hours 18 minutes
On-Demand
Free-Video
Schmid College, Chapman University

Perturbations of Periodic Sturm-Liouville Operators

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Explore perturbations of periodic Sturm-Liouville operators, focusing on Hill's equation and its applications in crystal physics. Analyze spectral changes under L1-assumptions and finite first moment conditions.
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1 Lesons
37 minutes
On-Demand
Free-Video
Schmid College, Chapman University

Quaternionic Non-Selfadjoint Operators and Their Spectral Theory

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Explore spectral theory for quaternionic operators, focusing on S-spectrum, Volterra operators, and triangular representations. Gain insights into non-commutative settings and spectral localization.
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1 Lesons
39 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Spectra of Laplace and Dirac Operators on Noncompact Manifolds

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Explore spectra of Laplace and Dirac operators on complete manifolds, including types of spectra, results for special behaviors at infinity, and effects of additional potentials.
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1 Lesons
46 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

On the L^p Spectrum of the Laplacian on Riemannian Manifolds

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Explore the $L^p$ spectrum of the Laplacian on manifolds, including resolvent sets, Weyl criterion, and hyperbolic space, with insights on conformally compact manifolds.
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1 Lesons
59 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Index Theory and Applications to Scalar Curvature

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Explore index theorems for compact manifolds with boundary and their applications to scalar curvature geometry, focusing on Dirac operators and boundary value problems.
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1 Lesons
49 minutes
On-Demand
Free-Video
Banach Center

Universal C*-algebras - Part 3

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Explore advanced concepts in universal C*-algebras, delving into complex mathematical theories and applications in functional analysis.
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1 Lesons
2 hours 7 minutes
On-Demand
Free-Video
Banach Center

Universal C*-algebras - Part II

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Explore advanced concepts in universal C*-algebras, delving into theoretical foundations and applications in functional analysis and operator theory.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Banach Center

Universal C*-algebras - Part I

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Explore universal C*-algebras with Gilles Gonçalves de Castro, delving into advanced mathematical concepts and their applications in functional analysis.
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1 Lesons
2 hours 5 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Polya's Conjecture for Euclidean Balls

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Explore Polya's conjecture for Euclidean balls, examining its proof for arbitrary dimensions and implications in spectral geometry.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Curvature Contribution to the Essential Spectrum of Dirac Operators with Critical Shell Interactions

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Explore the essential spectrum of 3D Dirac operators with critical shell interactions, examining how surface geometry influences spectral properties in quantum mechanics.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Eigenvalues and Minimal Surfaces

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Explore Laplace operator eigenvalues, their physical significance, and connection to minimal surfaces. Discover recent findings in isoperimetric eigenvalue problems for Riemannian surfaces.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Eisenstein Series - An Overview

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Explore Eisenstein series in a concise, self-contained overview, gaining insights into this mathematical concept and its applications.
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1 Lesons
48 minutes
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Centre de recherches mathématiques - CRM

Unimodular Galton-Watson Treeings and Irregular Random Graphs - Almost Ramanujan

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Explore spectral radii in graph limit theory, focusing on Unimodular Galton-Watson trees and irregular random graphs. Discover insights into the relationship between local and global graph properties.
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1 Lesons
34 minutes
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Centre de recherches mathématiques - CRM

Stationary Random Subgroups and Injectivity Radius in Negative Curvature

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Explore stationary random subgroups and injectivity radius in negative curvature, focusing on rank one simple Lie groups and hyperbolic manifolds. Gain insights into recent theorems and their applications.
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1 Lesons
47 minutes
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Centre de recherches mathématiques - CRM

The Method of Gauge Transform II

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Explorez la méthode de transformation de jauge et son application aux problèmes spectraux périodiques et ergodiques avec Jeffrey Galkowski.
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1 Lesons
1 hour 6 minutes
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Centre de recherches mathématiques - CRM

The Method of Gauge Transform - Periodic and Ergodic Spectral Problems

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Explorez la méthode de transformation de jauge et ses applications dans les problèmes spectraux, en mettant l'accent sur les aspects mathématiques avancés et les techniques analytiques.
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20 Lesons
1 hour 2 minutes
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Centre de recherches mathématiques - CRM

Quantitative Global Theory of One-Frequency Quasiperiodic Operators - Part II

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Explorez la théorie quantitative globale des opérateurs quasipériodiques à une fréquence, en examinant la réductibilité et ses implications dans les problèmes spectraux.
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12 Lesons
59 minutes
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Centre de recherches mathématiques - CRM

Quantitative Global Theory of One-Frequency Quasiperiodic Operators - Part I

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Explore quantitative global theory of one-frequency quasiperiodic operators, covering dynamic approaches, prototypical models, and applications in spectral problems.
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14 Lesons
1 hour 8 minutes
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Centre de recherches mathématiques - CRM

The Method of Gauge Transform - Lecture 4

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Explorez la méthode de transformation de jauge et ses applications dans les problèmes spectraux périodiques et ergodiques avec Jeffrey Galkowski de l'University College London.
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1 Lesons
1 hour 1 minute
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Centre de recherches mathématiques - CRM

The Method of Gauge Transform - Lecture 3

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Explore advanced mathematical concepts in periodic and ergodic spectral problems, focusing on the Gauge transform method.
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1 Lesons
1 hour 2 minutes
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Centre de recherches mathématiques - CRM

The Dry Ten Martini Problem for Sturmian Schrodinger Operators

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Explore the Dry Ten Martini Problem for Sturmian Schrodinger operators, examining spectral gaps and integrated density of states. Delve into recent solutions and advancements in this mathematical challenge.
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1 Lesons
1 hour 10 minutes
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BIMSA

Semiclassical Measures on Compact Hyperbolic Surfaces

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Explore semiclassical measures on compact hyperbolic surfaces, focusing on eigenfunctions of the Laplacian operator and the quantum ergodicity theorem. Delve into fractal uncertainty principles and their implications.
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54 minutes
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