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Math at Andrews

Differential Geometry

1 rewiews
Explore local curve theory, curvature, Frenet-Serret formulas, and the Fundamental Theorem of Curves in this comprehensive introduction to differential geometry.
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6 Lesons
4 hours 30 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

Entropy and Curvature of Markov Chains on Metric Spaces

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Explore the Peres-Tetali conjecture and its implications for Markov chains in this 57-minute lecture by Justin Salez from the Hausdorff Center for Mathematics. Delve into the relationship between contraction in Wasserstein distance and relative entropy f…
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1 Lesons
57 minutes
On-Demand
Free-Video
Sean Fitzpatrick

APEX Calculus - Vector-Valued Functions

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Explore vector-valued functions through graphing, algebra, calculus, motion analysis, and curvature. Learn about tangent and normal vectors, acceleration, and the arc length parameter in this comprehensive tutorial.
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47 Lesons
4 hours 30 minutes
On-Demand
Free-Video

Calculus III - Multivariable Calculus - Vectors, Curves, Partial Derivatives, Multiple Integrals, Optimization

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Explore multivariable calculus through geometric and conceptual understanding. Master vectors, curves, partial derivatives, multiple integrals, and optimization techniques for advanced mathematical applications.
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32 Lesons
5 hours
On-Demand
Free-Video
IMSA

The Calabi Problem from a Birational Geometer's Viewpoint - Part 2

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Explore the Calabi problem in Fano manifolds, focusing on recent developments in birational geometry and K-polystability. Gain insights from a renowned algebraic geometer.
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1 Lesons
53 minutes
On-Demand
Free-Video
IMSA

The Calabi Problem from a Birational Geometer's Viewpoint - Part 1

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Explore the Calabi problem in complex geometry, focusing on Kähler-Einstein metrics and recent developments in birational geometry. Learn from renowned algebraic geometer Carolina Araujo.
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1 Lesons
54 minutes
On-Demand
Free-Video
Institut Henri Poincaré

Gravité Quantique : l'Espace-Temps est-il aléatoire ?

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Explorez les défis de la gravité quantique et les approches pour introduire l'aléatoire quantique dans les théories gravitationnelles, avec des implications en physique et mathématiques.
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1 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Galileo Galilei Institute

Advanced General Relativity - Lecture 1

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Explore advanced concepts in General Relativity, delving into complex theories and mathematical frameworks that expand upon Einstein's groundbreaking work in spacetime and gravity.
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1 Lesons
2 hours 5 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 19

0 rewiews
Aprofunde-se na geometria diferencial de curvas e superfícies, explorando conceitos como curvatura, torção e formas fundamentais. Domine técnicas avançadas para análise de estruturas geométricas tridimensionais.
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11 Lesons
1 hour 49 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 18

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Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se em conceitos avançados de geometria.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 17

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Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria intrínseca e extrínseca.
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1 Lesons
2 hours 10 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 08

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Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 07

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Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
1 hour 47 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 06

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Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 05

0 rewiews
Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 04

0 rewiews
Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
2 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 22

0 rewiews
Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 21

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Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 20

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Explore advanced concepts in differential geometry of curves and surfaces, including curvature, geodesics, and the Gauss-Bonnet theorem. Enhance understanding of intrinsic and extrinsic geometry.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 11

0 rewiews
Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em geometria diferencial.
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1 Lesons
2 hours 4 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 10

0 rewiews
Explore advanced concepts in differential geometry, including curves, surfaces, curvature, and global theorems. Deepen understanding of intrinsic and extrinsic geometry in R3.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 09

0 rewiews
Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em geometria diferencial.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 16

0 rewiews
Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em matemática avançada.
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1 Lesons
1 hour 55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 15

0 rewiews
Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em matemática avançada.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 14

0 rewiews
Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em matemática avançada.
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1 Lesons
2 hours 9 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 13

0 rewiews
Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em matemática avançada.
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1 Lesons
2 hours 11 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 12

0 rewiews
Explore curvas, superfícies e geometria diferencial em R3. Aprenda sobre curvatura, torção, formas fundamentais e teoremas globais em geometria diferencial.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Plongements du Disque de Poincaré dans l'Espace Ambiant - Partie III

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Découvrez la construction explicite d'un plongement isométrique C^1 du disque de Poincaré, explorant ses propriétés surprenantes et son importance en géométrie hyperbolique.
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1 Lesons
1 hour 26 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Plongements du Disque de Poincaré dans l'Espace Ambiant - Partie I

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Découvrez la construction explicite d'un plongement isométrique C^1 du disque de Poincaré, explorant ses propriétés surprenantes et son importance en géométrie hyperbolique.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

Plongements du Disque de Poincaré dans l'Espace Ambiant - Partie II

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Explorez la construction explicite d'un plongement isométrique C^1 du disque de Poincaré, découvrant ses propriétés surprenantes et son importance en géométrie hyperbolique.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Markov Chain Curvature and Mixing

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Explore Markov chain curvature and its impact on mixing processes in this mathematical analysis of non-smooth spaces and finite dimensions.
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1 Lesons
45 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nijenhuis Geometry - Lecture 4

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Explore advanced concepts in Nijenhuis geometry, focusing on curvature and rigidity in mathematical structures beyond Riemannian geometry.
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1 Lesons
51 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nijenhuis Geometry - Part II

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Explore advanced concepts in Nijenhuis geometry, building on fundamental principles to deepen understanding of curvature and rigidity in mathematics.
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1 Lesons
49 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Nijenhuis Geometry - Part I

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Explore Nijenhuis geometry with Vladimir Matveev in this advanced mathematics lecture, part of a thematic programme on geometry beyond Riemann.
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1 Lesons
54 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 03

0 rewiews
Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
1 hour 58 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 02

0 rewiews
Explore curvas e superfícies em R3, incluindo curvatura, torção, formas fundamentais e teoremas globais. Aprofunde-se na geometria diferencial com aplicações e tópicos avançados.
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1 Lesons
2 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Geometria Diferencial de Curvas e Superfícies - Aula 01

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Explore differential geometry of curves and surfaces, covering topics like curvature, geodesics, and the Gauss-Bonnet theorem. Gain insights into intrinsic and extrinsic geometry.
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1 Lesons
1 hour 57 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Parametrização de Gauss: Aplicações - Aula 18

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Explore aplicações da Parametrização de Gauss na matemática avançada, aprofundando conceitos e técnicas essenciais para compreensão e utilização deste importante método.
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1 Lesons
1 hour 39 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Geometry and Topology of Data

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Explore geometric and topological properties of data sets, including curvature concepts and their relation to hyperconvexity, offering new insights into Topological Data Analysis.
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1 Lesons
50 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 20

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 4

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 7

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Fields Institute

A Second Course in Riemannian Geometry - Lecture 1

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Delve into advanced Riemannian geometry concepts, exploring sophisticated mathematical principles and topological structures through expert-led instruction from a renowned mathematician.
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1 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 16

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 17

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 12

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through rigorous mathematical analysis and theoretical frameworks.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 23

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through expert-led mathematical discussions and theoretical frameworks.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 24

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through expert-led mathematical discussions and theoretical frameworks.
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1 Lesons
1 hour 9 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 19

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 18

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through rigorous mathematical analysis and theoretical frameworks.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 9

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 15

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led instruction from the Fields Institute.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 13

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 11

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 19 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 5

0 rewiews
Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 8

0 rewiews
Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 2

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Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led instruction from the University of Waterloo.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 6

0 rewiews
Delve into advanced concepts of Riemannian geometry, exploring sophisticated mathematical principles and topological structures through expert-led mathematical discourse and theoretical frameworks.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 14

0 rewiews
Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through rigorous mathematical analysis and theoretical frameworks.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 10

0 rewiews
Delve into advanced concepts of Riemannian geometry, exploring complex geometric and topological structures through rigorous mathematical analysis and theoretical frameworks.
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1 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 22

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Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
Fields Institute

Topics in Geometry and Topology: A Second Course in Riemannian Geometry - Lecture 21

0 rewiews
Delve into advanced concepts of Riemannian geometry, exploring complex geometric structures and topological principles through expert-led mathematical discussions and theoretical frameworks.
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1 Lesons
1 hour 22 minutes
On-Demand
Free-Video
World Science Festival

Einstein, The Big Bang, and the Expansion of the Universe

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Explore Einstein's theory of relativity, the Big Bang, and cosmic expansion through visual explanations and essential mathematics, offering a fresh perspective on the universe's origins and evolution.
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7 Lesons
48 minutes
On-Demand
Free-Video
World Science Festival

Curvature and Parallel Motion

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Explore Einstein's theory of gravity through curvature mathematics. Brian Greene introduces key concepts and equations, offering insights into the universe's fundamental nature.
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5 Lesons
30 minutes
On-Demand
Free-Video
Insights into Mathematics

Curvature for the General Paraboloid - Differential Geometry - NJ Wildberger

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Novel approach to surface curvature using projective geometry and linear algebra. Explores paraboloid curvature through characteristic polynomials, offering insights for higher-dimensional generalizations.
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7 Lesons
46 minutes
On-Demand
Free-Video
Insights into Mathematics

Paraboloids and Associated Quadratic Forms - Differential Geometry

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Explore paraboloids and quadratic forms in differential geometry, covering diagonalization, eigenvalues, and Dupin's indicatrix. Learn key concepts for understanding surface curvature.
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8 Lesons
47 minutes
On-Demand
Free-Video
Insights into Mathematics

Geometric and Algebraic Aspects of Space Curves - Differential Geometry

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Explore geometric and algebraic aspects of space curves, including tangent vectors, normal planes, curvature, torsion, and associated surfaces. Learn about Monge's contributions and invariant properties.
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7 Lesons
55 minutes
On-Demand
Free-Video
Insights into Mathematics

The Frenet Serret Equations - Differential Geometry

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Explore the Frenet-Serret equations, describing space curves' behavior using vector-valued derivatives. Learn about tangent, normal, and bi-normal vectors, curvature, and torsion in 3D space.
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16 Lesons
51 minutes
On-Demand
Free-Video
Insights into Mathematics

Curvature, Turning Numbers and Winding Numbers - Differential Geometry

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Explore curvature, turning numbers, and winding numbers in planar curves. Learn about irrational numbers and transcendental functions from an applied perspective using rational turn angles.
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10 Lesons
48 minutes
On-Demand
Free-Video
Insights into Mathematics

Metrical Structure and Curvature of a Parabola - Differential Geometry

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Explore metrical structures and curvature in differential geometry, focusing on parabolas. Learn about symmetric bilinear forms, relativistic geometries, and their applications in physics.
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7 Lesons
44 minutes
On-Demand
Free-Video
Insights into Mathematics

The Triple Spread Formula, Circumcircles and Curvature - Rational Geometry Math Foundations

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Explores the Triple spread formula in Rational Trigonometry, relating it to circumcircles and curvature. Connects projective geometry with one and two-dimensional geometries through core circles and quadratic curvature.
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8 Lesons
24 minutes
On-Demand
Free-Video
Insights into Mathematics

Differential Geometry - Math History - NJ Wildberger

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Explore the foundations of differential geometry, from planar curves to Gaussian curvature, and its impact on modern physics. Learn about key concepts and historical contributions in this mathematical field.
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8 Lesons
52 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Jürgen Jost - Geometry and Topology of Data

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Explore geometric and topological approaches to data analysis, focusing on ball intersections, curvature concepts, and convexity in metric spaces.
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17 Lesons
50 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Shapes and Geometry of Surfaces by Mahan Mj

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Explore the fascinating world of surfaces and their geometric properties. Learn about classification, topology, and curvature in this comprehensive lecture on shapes in space.
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15 Lesons
1 hour 47 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Crash Course in Riemannian Geometry by Harish Seshadri

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Introductory lecture on Riemannian geometry, covering fundamental concepts and principles for graduate-level students in mathematics and theoretical physics.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Floer Homotopy Theory

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Explore recent developments in Floer generalized homology groups, their applications, and ongoing research on curvature in Floer homotopy theory with expert Mohammed Abouzaid.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Mohammed Abouzaid - Floer Homotopy Theory Pt. II

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Explore recent advancements in Floer generalized homology groups, their applications, and ongoing research on curvature in this context with Mohammed Abouzaid.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
IMSA

Homological Mirror Symmetry - Floer Homotopy Theory

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Explore recent developments in Floer generalized homology groups, their applications, and ongoing research on curvature in Floer homotopy theory with Mohammed Abouzaid.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Professor Leonard

Calculus 3 - TNB (Frenet-Serret) Frames, Curvature, Torsion, Encapsulation

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Explore TNB Frames, curvature, and torsion in vector calculus. Learn to compute Frenet-Serret frames, find osculating circles and planes, and perform vector encapsulation for 2D functions.
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1 Lesons
2 hours 37 minutes
On-Demand
Free-Video
ICTP Mathematics

Differential Geometry - Lecture 14

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Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry.
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1 Lesons
1 hour 20 minutes
On-Demand
Free-Video
ICTP Mathematics

Differential Geometry - Lecture 12

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Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry and physics.
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1 Lesons
1 hour 23 minutes
On-Demand
Free-Video
ICTP Mathematics

Differential Geometry - Lecture 11

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Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
ICTP Mathematics

Differential Geometry - Lecture 10

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Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry and physics.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
ICTP Mathematics

Differential Geometry - Lecture 19

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Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture by Claudio Arezzo.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
ICTP Mathematics

Differential Geometry - Lecture 20

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Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry and physics.
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1 Lesons
1 hour 7 minutes
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ICTP Mathematics

Differential Geometry - Lecture 17

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Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture.
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1 Lesons
1 hour 17 minutes
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ICTP Mathematics

Differential Geometry - Lecture 15

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Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture by Claudio Arezzo.
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1 Lesons
1 hour 34 minutes
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ICTP Mathematics

Differential Geometry - Lecture 13

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Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in this comprehensive lecture.
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1 Lesons
1 hour 30 minutes
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Mathemaniac

Why All Maps Are Wrong - Theorema Egregium

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Explore Theorema Egregium's geometric proof, revealing why no world map can preserve both area and angles. Understand curvature, spherical areas, and the Gauss map in this mathematical journey.
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8 Lesons
40 minutes
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Insights into Mathematics

Quadratic Curvature for Algebraic Curves - Differential Geometry Lecture 15

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Explores advanced formulas for curvature of algebraic surfaces in 3D space, focusing on the normal paraboloid as key to encoding quadratic metrical information and curvatures in general situations.
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1 Lesons
36 minutes
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Insights into Mathematics

Rational Curvature of a Polytope - Algebraic Topology Lecture 15

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Introduces a new rational definition of polytope curvature, using turn-angle to connect curvature with Euler number. Explores opposite cones and applies Harriot's theorem on spherical triangles.
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50 minutes
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Insights into Mathematics

Rational Curvature of Polytopes and the Euler Number - Algebraic Topology Lecture 16

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Explore the relationship between polyhedron curvature and Euler number using rational formulation. Learn about Harriot's theorem and analyze various polyhedra, including tetrahedron, cube, and dodecahedron.
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13 Lesons
35 minutes
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Insights into Mathematics

Gauss's View of Curvature and the Theorema Egregium - Differential Geometry Lecture 35

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Explores Gauss's curvature concept, Theorema Egregium, and discrete curvature in polyhedra. Covers Gauss-Rodrigues map, paraboloids, and the Gauss-Bonnet theorem for a comprehensive look at differential geometry.
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9 Lesons
44 minutes
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Insights into Mathematics

Curvature for General Algebraic Surfaces - Differential Geometry Lecture 29

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Explore curvature formulas for general algebraic surfaces, extending from paraboloids to general quadrics. Learn to compute curvatures for hypersurfaces in affine space.
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8 Lesons
49 minutes
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Insights into Mathematics

The Frenet-Serret Equations - Example of a Helix - Differential Geometry Lecture 19

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Detailed exploration of a helix as an example of Frenet Serret equations, discussing curvature, torsion, and the Fundamental theorem of curves. Introduces osculating, normal, and rectifying planes.
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1 Lesons
23 minutes
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Insights into Mathematics

Curvature for the General Parabola - Differential Geometry Lecture 13

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Explores curvature of general parabolas using projective geometry, focus-directrix definition, and local behavior. Introduces formulas for parabola curvature as a foundation for understanding curvature of general curves.
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1 Lesons
48 minutes
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Insights into Mathematics

Extending Archimedes' Parabolic Area Formula to Cubics - Algebraic Calculus

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Extending Archimedes' parabolic area formula to cubics using Algebraic Calculus and projective geometry. Explores unique aspects of cubic functions and their areas without relying on infinite processes.
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8 Lesons
42 minutes
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Mathemaniac

The Clever Way Curvature is Described in Math - Gaussian and Mean Curvatures

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Explore Gaussian and mean curvatures in differential geometry, focusing on the shape operator to understand surface curvature and its applications in minimal surfaces.
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1 Lesons
16 minutes
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Fields Institute

Connections Between Geometry and Partial Differential Equations

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Explore the fascinating interplay between geometric structures and partial differential equations, uncovering deep mathematical insights and applications.
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1 Lesons
43 minutes
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Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Anti-de Sitter Geometry and Applications to Hyperbolic Surfaces - Lecture 4

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Explore Anti-de Sitter geometry and its applications to hyperbolic surfaces in this advanced mathematics lecture by Andrea Seppi.
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1 Lesons
46 minutes
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