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Hausdorff Center for Mathematics

Vector-Valued Littlewood-Paley-Stein Theory for Semigroups

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Explore the vector-valued Littlewood-Paley-Stein theory for semigroups in this comprehensive 59-minute survey talk. Begin with the classical Littlewood-Paley-Stein inequality for symmetric diffusion semigroups before delving into the vector-valued settin…
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1 Lesons
59 minutes
On-Demand
Free-Video
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
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
Centre International de Rencontres Mathématiques

Boundary States of the Magnetic Robin Laplacian

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Explore boundary states of the magnetic Robin Laplacian in this mathematical conference talk by Nicolas Raymond, delving into spectral analysis for quantum Hamiltonians.
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1 Lesons
46 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Schatten Class of Sobolev Embeddings and Oscillation of L^2 Basis

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Explore Schatten class of Sobolev embeddings and oscillation speed of L^2 basis in this advanced mathematical lecture by Nikolai Nikolski at CIRM's thematic meeting.
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1 Lesons
42 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Interpolation Between Random Matrices and Free Operators, and Applications

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Explore interpolation between random matrices and free operators, with applications in quantum information theory and random matrix theory.
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1 Lesons
44 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Project Purple: L^p-Extrapolation à la Blunck-Kunstmann

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Explorez les techniques d'extrapolation $L^{p}$ selon Blunck-Kunstmann dans le cadre du "Project Purple". Approfondissez vos connaissances en analyse harmonique appliquée aux opérateurs elliptiques.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Gabor Analysis and Its Mysteries

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Einführung in die Gabor-Analyse: Grundlagen, Anwendungen und mathematische Konzepte für Signalverarbeitung, Quantenmechanik und Kommunikationstechnik.
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13 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Dynamical Sampling and Frames

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Explore dynamical sampling in signal recovery, covering space-time sampling, system identification, and source term problems. Gain insights into emerging challenges in this field.
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1 Lesons
33 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Spectral Analysis in Sheared Waveguides

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Explore spectral analysis in sheared waveguides with Alessandra Verri's insightful conference talk on quantum Hamiltonians.
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1 Lesons
30 minutes
On-Demand
Free-Video
Fields Institute

Wold Decompositions for Representations of C-Algebras Associated with Noncommutative Varieties

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Explore noncommutative varieties and C*-algebras through Wold decompositions, covering topics from Berezin kernels to polydomains in this advanced mathematical lecture.
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15 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Frames and Riesz Bases - Part 3

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Explores advanced topics in frame theory, including wavelet frames, Gabor frames, and dynamical sampling, building on previous lectures and examining key results from literature.
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13 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Model Spaces in Analytic Function Theory - Part 1

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Explore model spaces in function theory, covering key concepts like reproducing kernels and inner function spectra. Gain insights into both finite and infinite dimensional cases.
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10 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Hilbert Matrix Operator on Bergman-Type Spaces

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Explore the Hilbert matrix operator's behavior on various analytic function spaces, including Hardy, Bergman, and Besov spaces, with applications in complex analysis.
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11 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Blaschke Products and the Crouzeix Conjecture

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Explore Blaschke products and their connection to the Crouzeix conjecture in complex analysis, examining numerical ranges, model spaces, and level sets in operator theory.
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18 Lesons
48 minutes
On-Demand
Free-Video
Fields Institute

The Hochschild Cohomology of Uniform Roe Algebras

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Explores Hochschild cohomology of uniform Roe algebras, discussing bounded derivations, vanishing conditions, and connections between norm-continuous and ultraweak-weak* continuous cohomology.
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15 Lesons
39 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
Fields Institute

Mini-course on de Branges-Rovnyak Spaces - Part 1

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Explore de Branges-Rovnyak spaces, covering history, multipliers, and types of spaces. Learn about Bronzerovnik and range spaces, general lemmas, and boundary behavior.
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12 Lesons
53 minutes
On-Demand
Free-Video
International Mathematical Union

Gideon Schechtman - The Number of Closed Ideals in the Alg. of Bounded Operators on Lebesgue Spaces

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Explore the intricacies of closed ideals in bounded operators on Lebesgue spaces, delving into advanced mathematical concepts and their implications in functional analysis.
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1 Lesons
46 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Non-Commutative Function Theory - Part 1

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Explore non-commutative function theory fundamentals in this concise lecture, covering key concepts and applications in advanced mathematical analysis.
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1 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Lecture 6 Part 1

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Explore advanced concepts in reproducing kernel Hilbert spaces of analytic functions with expert Javad Mashreghi in this in-depth lecture from the Fields Institute's focus program.
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1 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Weighted Theory of Toeplitz Operators on the Bergman Space

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Explore advanced mathematical concepts in Toeplitz operators and Bergman spaces, focusing on weighted theory and its applications in complex analysis.
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1 Lesons
26 minutes
On-Demand
Free-Video
Fields Institute

Mini-Course on Truncated Toeplitz Operators - Part 1

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Explore truncated toeplitz operators in this comprehensive lecture by Emmanuel Fricain, delving into advanced mathematical concepts and their applications in analytic function spaces.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Lecture 5 Part 1

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Explore advanced concepts in reproducing kernel Hilbert spaces of analytic functions with expert Javad Mashreghi in this in-depth lecture from the Fields Institute's focus program.
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1 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

A Volterra-Type Operator on Hardy Spaces and Multiplication Operators on Analytic Tent Spaces

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Explore Volterra-type operators on Hardy spaces and multiplication operators on analytic tent spaces in this advanced mathematical analysis presentation.
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1 Lesons
26 minutes
On-Demand
Free-Video
Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Lecture 3 Part 2

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Explore advanced concepts in reproducing kernel Hilbert spaces of analytic functions, focusing on theoretical foundations and applications in functional analysis.
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1 Lesons
47 minutes
On-Demand
Free-Video
Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Advanced Course II, Lecture 2 Part 1

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Explore advanced concepts in reproducing kernel Hilbert spaces of analytic functions, focusing on theoretical foundations and applications in functional analysis.
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1 Lesons
58 minutes
On-Demand
Free-Video
Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Advanced Course II, Lecture 2, Part 2

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Explore advanced concepts in reproducing kernel Hilbert spaces of analytic functions, focusing on theoretical foundations and applications in functional analysis.
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1 Lesons
46 minutes
On-Demand
Free-Video
Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Lecture 2, Part 3

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Explore advanced concepts in reproducing kernel Hilbert spaces of analytic functions, focusing on theoretical foundations and applications in functional analysis.
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1 Lesons
30 minutes
On-Demand
Free-Video
Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Lecture 1, Part 1

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Explore reproducing kernel Hilbert spaces of analytic functions in this advanced mathematics lecture, focusing on theoretical foundations and applications in complex analysis.
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1 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Bergman Spaces - Part 3

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Explore advanced concepts in Bergman spaces, focusing on analytic function theory and its applications in complex analysis and functional analysis.
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1 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Cyclicity Preserving Operators on Spaces of Analytic Functions

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Explore cyclicity preserving operators in analytic function spaces, examining their properties and applications in complex analysis and operator theory.
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1 Lesons
27 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Bergman Spaces - Part 2

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Explore advanced concepts in Bergman spaces, building on foundational knowledge to deepen understanding of analytic function theory and its applications.
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1 Lesons
56 minutes
On-Demand
Free-Video
Fields Institute

Hardy Spaces Mini-Course and Workshop - Part 5

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Explore advanced concepts in Hardy spaces, focusing on analytic function theory and its applications in complex analysis and functional analysis.
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1 Lesons
59 minutes
On-Demand
Free-Video
Fields Institute

Hardy Spaces Mini-Course and Workshop - Part 4

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Explore advanced concepts in Hardy spaces, focusing on analytic function theory and its applications in complex analysis and functional analysis.
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1 Lesons
46 minutes
On-Demand
Free-Video
Fields Institute

Reading Course Summary - Operator Algebra Seminar

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Explore operator algebra concepts with Karl Lin from the University of Toronto in this seminar, part of a thematic program on operator algebras and applications.
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1 Lesons
37 minutes
On-Demand
Free-Video
Fields Institute

Stability and Lifting Properties for C*-Algebras and Groups - Lecture 1

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Explore stability and lifting properties in C*-algebras and groups, focusing on advanced mathematical concepts and their applications in operator theory.
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1 Lesons
54 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
Fields Institute

Stability and Lifting Properties for C*-algebras and Groups - Lecture 3

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Explore stability and lifting properties in C*-algebras and groups, delving into advanced mathematical concepts with expert insights from Tatiana Shulman.
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1 Lesons
59 minutes
On-Demand
Free-Video
Fields Institute

Stability and Lifting Properties for C*-algebras and Groups - Lecture 2

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Explore stability and lifting properties in C*-algebras and groups, delving into advanced mathematical concepts with expert insights from Tatiana Shulman.
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1 Lesons
57 minutes
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

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
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 - 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)

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
Fields Institute

The Operator is the Model - Dynamical Systems and Machine Learning

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Explore the intersection of machine learning and dynamical systems with Igor Mezic, focusing on operator-based modeling approaches and their implications for complex system analysis.
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1 Lesons
44 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

On Maximally Hypoelliptic Differential Operators

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Explore maximally hypoelliptic differential operators with Omar Mohsen in this advanced mathematical lecture from CIRM's Audiovisual Mathematics Library.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Parabolic Maximal Regularity Applied to Diffusion Networks

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Explore parabolic maximal regularity in diffusion networks with Wolfgang Arendt's mathematical analysis, focusing on applications and theoretical insights.
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1 Lesons
35 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
Centre International de Rencontres Mathématiques

R-Sectorial Operators and Maximal Regularity

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Explore $\mathscr{R}$-sectorial operators and maximal regularity in this mathematical conference talk, delving into advanced harmonic analysis techniques for elliptic operators.
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1 Lesons
55 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Sasha Borichev - A Short Sketch - Lecture

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Explore Mikhail Sodin's tribute to mathematician Sasha Borichev, delving into his life, work, and contributions to the field of mathematics.
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1 Lesons
46 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

The Norm of the Backward Shift Operator on H^1 is 2/√3

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Explore the norm of the backward shift operator on H^1, proven to be 2/√3, in this mathematical conference talk by Kristian Seip at CIRM.
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1 Lesons
28 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

The Matrix A2 Conjecture Fails, or 3/2... - Lecture

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Explore Sergei Treil's disproof of the matrix A₂ conjecture, delving into mathematical intricacies and implications for analysis and operator theory.
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1 Lesons
43 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Geometry of Reproducing Kernels in Hilbert Spaces of Analytic Functions

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Explore geometric properties of reproducing kernels in Hilbert spaces of analytic functions, focusing on their applications and implications in mathematical analysis.
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1 Lesons
39 minutes
On-Demand
Free-Video
Global Noncommutative Geometry Seminar

The Helffer-Nourrigat Conjecture - Hypoellipticity and Fredholmness of Polynomials of Vector Fields

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Explore hypoellipticity and Fredholmness in vector field polynomials through the Helffer-Nourrigat Conjecture, advancing understanding in noncommutative geometry.
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1 Lesons
1 hour 13 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
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
Institut des Hautes Etudes Scientifiques (IHES)

Schatten Properties for Noncommutative Martingale Paraproduct

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Explore Schatten class memberships of d-adic martingale paraproducts in semi-commutative settings and characterize Sp-norms using transference methods.
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1 Lesons
32 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Schatten Properties of Commutators on Quantum Tori

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Explore Schatten properties of commutators on quantum tori, characterizing them through Besov spaces and extending to Calderon-Zygmund operators in noncommutative settings.
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1 Lesons
43 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Schoenberg Correspondence and Semigroup of k-(super)positive Operators

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Explore Schoenberg correspondence and semigroups of k-(super)positive operators, extending LKGS theorem to characterize generators of various positive maps in quantum information theory.
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1 Lesons
28 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

From the Littlewood-Paley-Stein Inequality to the Burkholder-Gundy Inequality

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Explore optimal constants in Littlewood-Paley-Stein inequality through special diffusion semi-group construction, relating G-function to martingale square function in various cases.
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1 Lesons
32 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Non-commutative Pointwise Ergodic Theorem for Actions of Amenable Groups

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Explore generalizations of Birkhoff's theorem for amenable group actions and von Neumann algebras, focusing on non-commutative maximal functions and operator families.
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1 Lesons
1 hour
On-Demand
Free-Video
Schmid College, Chapman University

Toeplitz Operators on the Bergman Space

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Explore Toeplitz operators on Bergman space, covering commutative C*-algebras, non-semisimple Banach algebras, and non-commutative C*-algebras with invariant symbols under biholomorphic actions.
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1 Lesons
50 minutes
On-Demand
Free-Video
Banach Center

The Contravariant Functoriality of Graph Algebras

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Explore contravariant functoriality in graph algebras, delving into advanced mathematical concepts and their applications in algebraic structures.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Banach Center

Compact Quantum Surfaces - From Topless Operators to Nonorientable Structures

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Explore compact quantum surfaces, from induction steps to nonorientable structures, with insights on topless operators and system extensions.
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11 Lesons
1 hour 16 minutes
On-Demand
Free-Video
Banach Center

Applications of C*-Classification - Part II

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Explore advanced applications of C*-classification in mathematics, focusing on complex analysis and operator theory. Deepen understanding of abstract algebra concepts.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Banach Center

Applications of C*-Classification - Part I

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Explore C*-classification applications in mathematics, focusing on advanced concepts and their practical implications in the field of functional analysis.
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1 Lesons
2 hours 6 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
Banach Center

Directed Graphs, Variations on Directed Graphs, and Their C*-Algebras - Part I

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Explore directed graphs, their variations, and associated C*-algebras. Delve into proofs, dynamics, and advanced concepts in graph theory and algebra.
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18 Lesons
2 hours
On-Demand
Free-Video
Banach Center

Directed Graphs, Variations on Directed Graphs, and Their C*-Algebras - Part II

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Explore advanced concepts of directed graphs and their C*-algebras, focusing on variations and mathematical applications in this in-depth lecture by Jack Spielberg.
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1 Lesons
2 hours 2 minutes
On-Demand
Free-Video
Banach Center

Sums of Squares in Leavitt Path *-Algebras and Beyond

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Explore sums of squares in Leavitt path *-algebras and their extensions, delving into advanced mathematical concepts and applications.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Banach Center

Curvature and Noncommutative Probability

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Explore connections between curvature and noncommutative probability, delving into advanced mathematical concepts and their applications in probability theory.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Corona Rigidity in Operator Theory and C*-Algebras

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Explore corona rigidity in operator theory, examining extensions of Weyl-von Neumann theorem and its implications for C*-algebras, Calkin algebra, and isomorphisms of quotients.
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1 Lesons
57 minutes
On-Demand
Free-Video
BIMSA

Filling Radius, Positive Scalar Curvature and Quantitative Operator K-Theory

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Explore techniques in quantitative operator theory to estimate filling radius, connecting positive scalar curvature and asymptotic dimension in large-scale geometry.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Banach Center

The 1950s: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 4

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Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact.
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1 Lesons
1 hour
On-Demand
Free-Video
Banach Center

The 1950s: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 3

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Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Banach Center

The 1950's: A Golden Age of Harmonic Analysis - Connections with Calderón-Zygmund Theory - Part 2

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Explore connections between harmonic analysis and Calderón-Zygmund theory in the 1950s, focusing on groundbreaking developments and their lasting impact on mathematics.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 3

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Explore advanced techniques for establishing uniform bounds in multilinear singular integrals, building on previous discussions and delving into complex mathematical concepts.
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1 Lesons
47 minutes
On-Demand
Free-Video
Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 4

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Explore advanced mathematical concepts in multilinear singular integrals, focusing on uniform bounds and their applications in complex analysis and harmonic analysis.
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1 Lesons
59 minutes
On-Demand
Free-Video
Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 2

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Explore advanced techniques for establishing uniform bounds on multilinear singular integrals, building upon previous concepts and delving into complex mathematical analysis.
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1 Lesons
39 minutes
On-Demand
Free-Video
Banach Center

Uniform Bounds for Multilinear Singular Integrals - Part 1

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Explore uniform bounds for multilinear singular integrals with Olli Saari, delving into advanced mathematical concepts and their applications in analysis.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Banach Center

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 1

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Explore spectral multipliers and wave equations for sub-Laplacians in this advanced mathematical lecture by Alessio Martini from Politecnico di Torino.
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1 Lesons
1 hour
On-Demand
Free-Video
Banach Center

Spectral Multipliers and Wave Equation for Sub-Laplacians - Part 3

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Explore advanced concepts in spectral multipliers and wave equations for sub-Laplacians, focusing on cutting-edge mathematical research and applications.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

K-Theory of Group C*-Algebras and Applications

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Delve into K-theory of group C*-algebras, exploring its applications in topology, representation theory, and elliptic operators. Suitable for graduate students with Hilbert space theory background.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Fields Institute

K-Theory and C*-Algebras - Lecture 35

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Explore advanced concepts in K-Theory and C*-Algebras with Professor George Elliott, delving into operator algebras and their applications in mathematics.
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1 Lesons
50 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Potential Theoretic Methods for Deterministic Schrödinger Operators

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Explorez les méthodes de théorie du potentiel pour les opérateurs de Schrödinger déterministes, présentées par Wilhelm Schlag de l'Université Yale.
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1 Lesons
58 minutes
On-Demand
Free-Video
NCCR SwissMAP

The Feynman Propagator and Self-Adjointness

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Explore analytic techniques in dynamics and geometry, focusing on the Feynman propagator and self-adjointness with Stanford's A. Vasy.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Squid: Schools for Quantum Information Development

Hamiltonian Property Testing - Testing Locality and Structural Properties

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Explore groundbreaking research in Hamiltonian property testing, examining efficient algorithms for quantum systems and the fundamental differences between testing and learning approaches.
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1 Lesons
23 minutes
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Discover AI

New AI Models for Solving Hamiltonian Mechanics - From Operator Theory to Neural Networks

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Explore groundbreaking AI neural networks VaRONet and MambONet that revolutionize solving Hamiltonian mechanics through operator learning, bypassing traditional differential equations for efficient physical system modeling.
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9 Lesons
22 minutes
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Squid: Schools for Quantum Information Development

A Unified Graph-Theoretic Framework for Free-Fermion Solvability

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Explore a unified graph-theoretic framework that connects quantum spin systems with free-fermion solutions through frustration graphs, extending Jordan-Wigner transformations and four-fermion model solutions.
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1 Lesons
23 minutes
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Centre International de Rencontres Mathématiques

The Landau Hamiltonian with Delta-Potentials Supported on Curves

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Explore the Landau Hamiltonian with delta-potentials on curves in this mathematical conference talk. Gain insights into spectral analysis for quantum Hamiltonians.
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1 Lesons
40 minutes
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Centre International de Rencontres Mathématiques

Powers of Discrete Laplacians and Hardy-Type Inequalities

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Explore powers of discrete Laplacians and Hardy-type inequalities in this mathematical conference talk by Borbala Gerhat, delving into advanced concepts in mathematical physics.
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1 Lesons
30 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

The Casimir Energy as a Trace

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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.
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1 Lesons
46 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Dispersion Estimates for Dirac Equations with Aharonov-Bohm Magnetic Fields

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Explore dispersive properties of 2D Dirac operators with Aharonov-Bohm potentials, examining flow components and deducing sharp Strichartz estimates for advanced mathematical analysis.
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1 Lesons
41 minutes
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Inside Livermore Lab

Quantum Information and Data Science for Modeling Classical Dynamics

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Explore quantum information and data science approaches for modeling classical dynamics, focusing on operator-theoretic techniques and their applications in dynamical systems and climate modeling.
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1 Lesons
1 hour 30 minutes
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Centrum Fizyki Teoretycznej PAN

Feynman Propagator on Curved Spacetimes - Definitions and Examples

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Explore the Feynman propagator in Quantum Field Theory, examining its definitions and applications across various spacetime models, including stationary, FLRW, and de Sitter.
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1 Lesons
1 hour 9 minutes
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