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Santa Fe Institute

Tutorial on Neurobiology - Chris Lynn

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Explore neurobiology through brain networks, structures, and measurements, delving into energy, irreversibility, and cognitive functions in this comprehensive tutorial.
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14 Lesons
33 minutes
On-Demand
Free-Video
GERAD Research Center

On Difference Games in Infinite-Horizon

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Explore infinite-horizon difference games governed by difference equations or inequalities in this 55-minute webinar presented by Naila Hayek from Université Panthéon-Assas, Paris II, France. Delve into various Nash-equilibrium concepts and examine Pontr…
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1 Lesons
55 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Isoperimetric and Poincaré Inequalities on the Hamming Cube

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Explore isoperimetric inequalities on the Hamming cube near and at the critical exponent 1/2, as well as closely related L1 Poincaré inequalities in this one-hour lecture. Delve into joint research conducted with P. Durcik and P. Ivanisvili, focusing on…
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1 Lesons
1 hour
On-Demand
Free-Video
Hausdorff Center for Mathematics

Dimension-Free Estimates for Low Degree Functions on the Hamming Cube

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Explore dimension-free L^p inequalities for low degree scalar-valued functions on the Hamming cube in this 1-hour 5-minute lecture. Delve into Bernstein-Markov type inequalities for functions with spectrum bounded from above, examining cases for p>2 and…
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
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
Hausdorff Center for Mathematics

Random Graphs and Nonlinear Spectral Gaps

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Explore discrete Poincaré inequalities in regular expander graphs, long-range expansion properties, and their implications for Banach space-valued functions, with improved estimates for Poincaré constants.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Dimension-Free Sobolev-Type Embeddings in the Gauss Space

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Explore dimension-free Sobolev-type embeddings in Gauss space, extending Gross' logarithmic Sobolev inequality and examining Orlicz spaces, higher-order derivatives, and Gaussian isoperimetric inequality.
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1 Lesons
51 minutes
On-Demand
Free-Video

Dual Spaces

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Explore dual spaces, bases, and transformations in linear algebra, covering key concepts like annihilators, rank equality, and Dirac delta functions.
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15 Lesons
4 hours 30 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
Academic Lesson

Advanced Linear Algebra

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Comprehensive exploration of advanced linear algebra concepts, including least squares approximation, error-correcting codes, functional calculus, affine transformations, and stochastic maps, with practical applications.
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25 Lesons
4 hours 9 minutes
On-Demand
Free-Video
Friedrich–Alexander University Erlangen–Nürnberg

Quantum Theory

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Comprehensive exploration of quantum mechanics, covering axioms, mathematical foundations, operators, spectra, and applications like spin and harmonic oscillators. Ideal for advanced physics students.
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21 Lesons
1 day 15 hours
On-Demand
Free-Video
Institute for Advanced Study

Many Body Scars as a Group Invariant Sector of Hilbert Space - Kiryl Pakrouski

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Explore quantum many-body scars as group-invariant Hilbert space sectors, examining their properties, energy gaps, and implications for high-temperature quantum systems and long-range correlations.
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14 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Institute for Advanced Study

Quantum Information and the Black Hole Interior II - Ahmed Almeiri

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Explore quantum information's role in black hole interiors, covering key concepts like typicality, central charge, and complementarity in theoretical physics.
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14 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

The Principal Eigenvalue of Time-Periodic Nonlocal Equations with Drift

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Explore time-periodic nonlocal equations with drift, focusing on principal eigenvalue analysis in this advanced mathematical lecture by Pierre Gabriel.
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1 Lesons
44 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Fonctions sphéroïdales et triplets spectraux

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Explorez la construction de triplets spectraux à partir de l'opérateur différentiel W, reproduisant les comportements des zéros de zeta dans l'infrarouge et l'ultraviolet.
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1 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Le problème du bicentralisateur de Connes - Histoire, motivations et résultats récents

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Explorez le problème du bicentralisateur de Connes, son histoire et ses implications dans la théorie des facteurs de type III1. Découvrez les avancées récentes dans ce domaine mathématique complexe.
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1 Lesons
52 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Aula 17

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Aprofunde-se em espaços vetoriais normados, Banach e Hilbert. Explore teoremas fundamentais e operadores lineares na análise funcional avançada.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Aula 16

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Aprofunde-se em espaços vetoriais normados, Banach e Hilbert. Explore teoremas fundamentais e topologias fracas na análise funcional avançada.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Aula 15

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Explore advanced functional analysis concepts, including normed vector spaces, Banach spaces, linear operators, and key theorems in this doctoral-level mathematics lecture.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Aula 14

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Explore advanced functional analysis concepts, including normed vector spaces, Banach spaces, linear operators, and key theorems in this doctoral-level mathematics lecture.
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1 Lesons
1 hour 57 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional: Espaços Vetoriais Normados e Espaços de Banach - Aula 07

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Aprofunde-se em espaços vetoriais normados, Banach e Hilbert. Explore teoremas fundamentais e topologias fracas na análise funcional avançada.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Doutorado - Aula 06

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Explore normed vector spaces, Banach spaces, and linear operators in this advanced functional analysis lecture. Delve into key theorems and concepts in mathematical analysis.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Doutorado - Aula 05

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Explore espaços vetoriais normados, teoremas fundamentais e topologias em análise funcional avançada. Aprofunde-se em conceitos essenciais para pesquisa matemática de alto nível.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Análise Funcional - Aula 04

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Aprofunde-se em espaços vetoriais normados, Banach e quociente. Explore operadores lineares, teoremas fundamentais e topologias fracas na análise funcional avançada.
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1 Lesons
2 hours 10 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Análise Funcional - Aula 03

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Aprofunde-se em espaços vetoriais normados, Banach e quociente. Explore operadores lineares, teoremas fundamentais e topologias fracas na análise funcional avançada.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Análise Funcional - Aula 02

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Aprofunde-se em espaços vetoriais normados, Banach e quociente. Explore operadores lineares, teoremas fundamentais e topologias em análise funcional avançada.
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1 Lesons
2 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Não Linear de Espaços de Banach - Palestra Especial 2023

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Explore a geometria não linear de espaços de Banach nesta palestra especial ministrada por Bruno Mendonça Braga, abordando conceitos avançados de matemática pura.
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1 Lesons
43 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Variational Formulations of Fokker-Planck Equations: Theory and Applications to Stability - Lecture 1

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Explore variational formulations of Fokker-Planck equations, focusing on theory and applications to stability. Gain insights into advanced mathematical concepts at the doctorate level.
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1 Lesons
1 hour 14 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Aula 10

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Aprofunde-se em espaços vetoriais normados, Banach, operadores lineares e teoremas fundamentais da análise funcional. Explore topologias fracas, espaços de Hilbert e teoria espectral.
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1 Lesons
2 hours 12 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Doutorado - Aula 09

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Aprofunde-se em espaços vetoriais normados, Banach, operadores lineares e teoremas fundamentais da análise funcional. Explore topologias fracas, espaços de Hilbert e teoria espectral.
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1 Lesons
2 hours 3 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Doutorado - Aula 08

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Aprofunde-se em espaços vetoriais normados, Banach e Hilbert. Explore teoremas fundamentais da análise funcional e a teoria espectral de operadores compactos auto-adjuntos.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Análise Funcional - Aula 13

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Aprofunde-se em espaços vetoriais normados, Banach, operadores lineares e teoremas fundamentais da análise funcional. Explore topologias fracas, espaços de Hilbert e teoria espectral.
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1 Lesons
2 hours 7 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Análise Funcional - Aula 12

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Aprofunde-se em espaços vetoriais normados, Banach, operadores lineares e teoremas fundamentais da análise funcional. Explore topologias fracas, espaços de Hilbert e teoria espectral.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise Funcional - Doutorado - Aula 11

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Aprofunde-se em espaços vetoriais normados, Banach e Hilbert. Explore teoremas fundamentais e topologias em análise funcional avançada. Desenvolva habilidades essenciais para pesquisa matemática.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Banach Center

A New Characterization of Independence Based on Local Correlations

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Odkryj nową charakterystykę niezależności opartą na korelacjach lokalnych w matematyce statystycznej.
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1 Lesons
25 minutes
On-Demand
Free-Video
Banach Center

Complexity of Approximating Holder Classes from Information with Varying Gaussian Noise

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Explore approximation complexity for Holder classes with varying Gaussian noise, focusing on mathematical applications and information theory concepts.
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1 Lesons
35 minutes
On-Demand
Free-Video
Banach Center

Własności Ergodyczne Pewnego Równania Różniczkowego Cząstkowego i Ich Zastosowania

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Zgłęb własności ergodyczne równania różniczkowego cząstkowego i ich praktyczne zastosowania w matematyce stosowanej.
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1 Lesons
37 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Sharp Stability of Higher Order Dirichlet Eigenvalues

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Explorez la stabilité des valeurs propres de Dirichlet d'ordre supérieur, en examinant les limites nettes pour les valeurs propres dégénérées et les groupes de valeurs propres.
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17 Lesons
51 minutes
On-Demand
Free-Video
CIMPA UCR

New Banach Spaces-Based Fully-Mixed Finite Element Methods for Pseudostress-Assisted Diffusion

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Explora nuevos métodos de elementos finitos mixtos para difusión asistida por pseudoestrés, basados en espacios de Banach.
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1 Lesons
25 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

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

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
Centre International de Rencontres Mathématiques

Traveling Waves for a Family of Szegö Equations

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Explorez les ondes progressives pour une famille d'équations de Szegö dans cette conférence mathématique approfondie sur l'analyse harmonique et les équations différentielles partielles.
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1 Lesons
47 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Análise Funcional - Aula 01

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Explore os fundamentos da Análise Funcional em nível de doutorado, abordando espaços normados, teoremas fundamentais e topologias avançadas na matemática.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Hausdorff Center for Mathematics

Mathematics of Signal Design for Communication Systems and Szemerédi’s and Green-Tao’s Theorems

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Explore signal design for communication systems, focusing on orthogonal transmission schemes and their dynamics. Delve into mathematical connections with functional analysis and additive combinatorics.
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23 Lesons
1 hour 8 minutes
On-Demand
Free-Video
IPhT-TV

When the Fourier Transform is One Loop Exact?

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Explore the conditions for one-loop exactness of Fourier transforms in mathematical physics, examining implications for quantum field theory and statistical mechanics.
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1 Lesons
1 hour 26 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
NPTEL-NOC IITM

Orthogonality of Signals - Lecture 10

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Explore orthogonality of signals, a fundamental concept in signal processing and communication systems. Gain insights into its applications and importance.
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1 Lesons
16 minutes
On-Demand
Free-Video
Fields Institute

Hilbert-Space Valued LQ Mean Field Games - An Infinite-Dimensional Analysis

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Explore infinite-dimensional analysis of Hilbert-space valued LQ mean field games, delving into advanced mathematical concepts and their applications in finance.
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1 Lesons
22 minutes
On-Demand
Free-Video
Banach Center

Sharp Restriction Theory - Part 1

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Explore advanced concepts in sharp restriction theory, focusing on key principles and applications in mathematical analysis.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Nonlinear Spectral Decompositions in Imaging and Inverse Problems

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Explore nonlinear spectral decompositions in imaging and inverse problems, covering variational theory, applications, and computational methods for nonlinear eigenfunctions.
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21 Lesons
59 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Alexander Wagner - Nonembeddability of Persistence Diagrams into Hilbert Spaces

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Explore nonembeddability of persistence diagrams in Hilbert spaces, examining stability, metrics, and implications for machine learning applications in topological data analysis.
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10 Lesons
27 minutes
On-Demand
Free-Video
Society for Industrial and Applied Mathematics

Nonlinear Spectral Decompositions in Imaging and Inverse Problems

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Explore nonlinear spectral decompositions in imaging and inverse problems, focusing on variational theory and applications in data science, with computational methods discussed.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Simons Semester on Dynamics

Mean Ergodic Theorems Along Sequences of Polynomial Growth

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Delve into advanced mathematical concepts exploring mean ergodic theorems and their relationship with polynomial growth sequences in dynamical systems and ergodic theory.
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1 Lesons
48 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

The Spaces Up and Vp and Global Solutions to Dispersive Equations

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Delve into advanced mathematical concepts of Up and Vp spaces and their applications in solving dispersive equations, featuring insights from Professor Herbert Koch of Universität Bonn.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Simons Institute

Michael Cohen and Self-Concordant Barriers Over L_p Balls

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Exploration of self-concordant barriers over L_p balls, discussing Michael Cohen's contributions and proof ideas in the context of high-dimensional optimization and convex geometry.
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19 Lesons
34 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

From Local to Global Holomorphic Peak Functions - Lecture 1

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Explore holomorphic peak functions in complex analysis, from local to global perspectives. Gain insights into Cauchy-Riemann equations, L2-theory, and applications in higher-dimensional complex manifolds.
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9 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Hajime Ishihara - The Constructive Hahn Banach Theorem, Revisited

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Explores constructive versions of the Hahn-Banach theorem, focusing on separation and extension theorems. Discusses geometric properties, subderivatives, and Gâteaux derivatives in functional analysis.
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24 Lesons
33 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Projective/Injective Ratio and GPTs

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Explore tensor products in normed spaces, examining projective and injective norms' differences. Discover applications in physics, probabilistic theories, and XOR games, using geometry and random matrix techniques.
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13 Lesons
39 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Emanuel Milman: Functional Inequalities on Sub-Riemannian Manifolds via QCD

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Explores functional inequalities on sub-Riemannian manifolds using QCD, offering novel quantitative estimates for Poincaré and log-Sobolev inequalities with applications to Heisenberg groups.
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12 Lesons
44 minutes
On-Demand
Free-Video
Fields Institute

Sarason's Ha-plitz Product Problem

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Explore Sarason's Ha-plitz product problem, its implications in analytic function spaces, and recent developments in this challenging mathematical area.
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12 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Hardy Spaces: Uniqueness and Harmonic Representation Theorems - Part 6

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Explore uniqueness, harmonic representation, and representation theorems in Hardy spaces, advancing understanding of analytic function spaces and their applications.
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5 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Hardy Spaces - Part 3

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Explore Hardy spaces with a focus on rotation, generalization, and approximate identities. Delve into uniform boundedness, Poisson PR constructions, and harmonic functions.
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11 Lesons
57 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

Quotients of the Drury-Arveson Space and Their Classification in Terms of Complex Geometry

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Explore quotients of Drury-Arveson space, their classification using complex geometry, and connections to hyperbolic metrics and holomorphic multipliers in this advanced mathematical lecture.
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16 Lesons
57 minutes
On-Demand
Free-Video
Fields Institute

Gelfand Transformations and Boundary Representations of Complete Nevanlinna-Pick Quotients

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Explore Gelfand transformations and boundary representations in Nevanlinna-Pick quotients, covering univariate settings, approximation sets, and isolated points in boundary representations.
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7 Lesons
25 minutes
On-Demand
Free-Video
Fields Institute

Reproducing Kernel Hilbert Space of Analytic Functions - Lecture 10, Part 1

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Explore advanced concepts in analytic function spaces, including reproducing kernel Hilbert spaces, with a focus on examples, generalizations, and special cases.
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7 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Drury-Arveson Space - Part 1

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Explore Drury-Arveson Space: origins, function theory, and connections to noncommutative geometry. Gain insights into this fundamental concept in operator theory and its applications.
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12 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Commutant Lifting and Nevanlinna-Pick Interpolation in Several Variables

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Explore advanced topics in complex analysis, including commutant lifting and Nevanlinna-Pick interpolation across multiple variables, with applications in function spaces and operator theory.
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15 Lesons
47 minutes
On-Demand
Free-Video
Fields Institute

Monotonicity, Convexity, and Realization of Noncommutative Functions

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Explore noncommutative functions, focusing on monotonicity, convexity, and realization. Delve into classical representations and modern approaches in matrix analysis and functional calculus.
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27 Lesons
49 minutes
On-Demand
Free-Video
Fields Institute

Mini-Course on Non-Commutative Function Theory - Part 2

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Explore non-commutative function theory, covering square summable series, homogeneous sums, and the Rhoda string theorem in this advanced mathematical lecture.
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8 Lesons
52 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

Two Weight Norm Inequalities for Singular and Fractional Integral Operators in Rn

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Explore singular and fractional integral operators in Rn, focusing on two weight norm inequalities. Learn about A2 and AP weights, pivotal conditions, and cancellation properties.
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23 Lesons
58 minutes
On-Demand
Free-Video
Fields Institute

Sums of Squares and Applications to Hypoellipticity

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Explore sums of squares in differential equations, focusing on hypoellipticity. Learn about key theorems, counterexamples, and applications in this advanced mathematics lecture.
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13 Lesons
48 minutes
On-Demand
Free-Video
Fields Institute

Generators of C0-Semigroups of Weighted Composition Operators

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Explore generators of C0-semigroups and weighted composition operators in analytic function spaces, examining key assumptions, proofs, and recent developments in the field.
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14 Lesons
52 minutes
On-Demand
Free-Video
Fields Institute

Totally Positive Kernels, Polya Frequency Functions, and Their Transforms

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Explore total positivity in mathematics, including real-rooted polynomials, composition operators, and Hankel kernels. Gain insights into preservers of TN kernels and TP kernel approximations.
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18 Lesons
51 minutes
On-Demand
Free-Video
Fields Institute

BMO and Variations

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Explore rearrangement, continuity, and improved constants in BMO variations. Gain insights into uniform domains and local BMO extensions in this advanced mathematical analysis.
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13 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Measures with L2-Bounded Riesz Transform and the Painlevé Problem for Lipschitz Harmonic Functions

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Explore uniform rectifiability, curvature of measures, and removability in relation to Lipschitz harmonic functions and the Painlevé problem in this advanced mathematics lecture.
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14 Lesons
55 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

Introduction to Frames and Riesz Bases - Part 2

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Explore Fourier transforms, wavelet theory, and Gabor frames in this advanced mathematics lecture, focusing on recent developments in frame theory and Riesz bases.
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10 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Introduction to Frames and Riesz Bases - Part 1

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Explore key concepts of frames and Riesz bases in functional analysis, including characterizations, properties, and applications like Sigma-Delta quantization.
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15 Lesons
54 minutes
On-Demand
Free-Video
Fields Institute

Colloquium Talk on Interpolation and Sampling

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Explore interpolation and sampling in analytic function spaces, covering historical context, general problems, and modern perspectives on this mathematical topic.
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12 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

The Invariant Subspace Problem: A Brief Overview of Recent Developments

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Explore recent developments in the invariant subspace problem, covering history, proofs, reflexivity, and various techniques in operator theory and functional analysis.
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15 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Mini-course on Interpolation and Sampling - Part 2

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Explore advanced concepts in interpolation and sampling, including Hardy spaces, Carleson measures, and weak interpolation in analytic function theory.
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10 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Conjugations in L2 Spaces on the Unit Circle and the Real Line

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Explore conjugations in L2 spaces, examining various types and their applications on the unit circle and real line. Includes examples and connections to Fourier transforms.
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12 Lesons
52 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

Three Problems on Univalent Functions in Model Spaces

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Explore univalent functions in model spaces, covering new linear domains, observed continuation, and characterization theorems. Gain insights into complex analysis and function theory.
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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

Mini-course on Bergman Spaces - Part 1

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Explore Bergman Spaces in mathematics, covering key concepts, theorems, and applications in analytic function theory. Gain insights from expert Stefan Richter.
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16 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Polynomial Approximation of Inverses of Functions in Dirichlet-Type Spaces

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Explores polynomial approximation of function inverses in Dirichlet-type spaces, covering optimal approximants, cyclicity, and convergence. Discusses challenges and open questions in the field.
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12 Lesons
49 minutes
On-Demand
Free-Video
Fields Institute

Approximation and Closed Ideals in Some Analytic Spaces

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Explore approximation theory and closed ideals in analytic spaces, focusing on key theorems, inequalities, and applications in functional analysis.
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5 Lesons
29 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

Describing Blaschke Products by Their Critical Points

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Explore critical points in Blaschke products, inner functions, and related theorems. Gain insights into analytic function spaces and their applications in complex analysis.
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13 Lesons
1 hour
On-Demand
Free-Video
Fields Institute

Mini-course on Blaschke Products and Inner Functions - Part 1

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Explore Blaschke products and inner functions in complex analysis, covering definitions, singular inner functions, and dynamical properties in this advanced mathematics lecture.
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7 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Contractive Inequalities for Hardy Spaces

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Explore contractive inequalities in Hardy spaces, covering Henson's inequality, hyperspace, critical exponents, and geometric problems in analytic function theory.
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16 Lesons
56 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