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#Differential Forms

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Differential Forms

1 rewiews
Explora las formas diferenciales, sus propiedades algebraicas, integración y aplicaciones en cálculo vectorial y ecuaciones de Maxwell.
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23 Lesons
7 hours
On-Demand
Free-Video

Physics

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Explora las ecuaciones de Maxwell a través de formas diferenciales y observa a un profesor de matemáticas enfrentarse a un desafío de la Olimpiada de Física.
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2 Lesons
30 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 18

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Explore advanced concepts in differential geometry, including manifolds, tangent bundles, and differential forms. Delve into the Whitney embedding theorem and De Rham cohomology.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 17

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Aprofunde-se em análise em variedades, explorando tópicos avançados como variedades diferenciáveis, fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa matemática.
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 16

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Assista à décima sexta aula do curso de mestrado em Análise em Variedades, ministrada pelo Professor Vinicius Ramos no Instituto de Matemática Pura e Aplicada. Explore conceitos avançados como variedades diferenciáveis, variedades com bordo, variedades o…
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1 Lesons
1 hour 27 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 19

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Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Commutative Algebra and Algebraic Geometry - 15th ALGA Meeting

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Explore advanced topics in algebraic geometry and commutative algebra, including differential forms, Riemann surfaces, and foliations, with expert Jorge Vitório Pereira.
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15 Lesons
38 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 12

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Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Domine conceitos essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 11

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Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 09

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Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 01

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Explore conceitos avançados de análise em variedades, incluindo variedades diferenciáveis, fibrados, formas diferenciais e teoremas fundamentais. Aprofunde-se na matemática de alto nível.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 07

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Aprofunde-se em análise em variedades, explorando conceitos avançados como variedades diferenciáveis, fibrados tangentes e formas diferenciais. Domine técnicas essenciais para pesquisa em matemática pura.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 06

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Aprofunde-se em análise em variedades, explorando tópicos avançados como variedades diferenciáveis, fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa matemática.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 14

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Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Domine conceitos essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Electromagnetic Field as a Differential 2-Form and Its Lorentz Transformation - Lecture 10

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Explore electromagnetic fields as differential 2-forms and their Lorentz transformations in this advanced theoretical physics lecture on electrodynamics and relativity.
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1 Lesons
1 hour 35 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge: Variedade de Fermat I - Aula 17

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Explore a Teoria de Hodge aplicada à variedade de Fermat, aprofundando-se em conceitos avançados de geometria algébrica e topologia.
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1 Lesons
53 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge: Gauss-Manin Connection - Aula 16

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Explore a conexão de Gauss-Manin na Teoria de Hodge, aprofundando-se em conceitos avançados de matemática pura aplicada ao doutorado.
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1 Lesons
55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Teoria de Hodge da Variedade de Fermat - Aula 18

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Explore a Teoria de Hodge aplicada à variedade de Fermat, aprofundando-se em conceitos avançados de geometria algébrica e topologia.
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1 Lesons
59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 15

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Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e cohomologia de De Rham. Desenvolva habilidades essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - The Minkowski Metric and the Hodge Operator

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Explore the Minkowski inner product's lifting to 2 and 3 forms and its impact on the Hodge operator in this advanced mathematics video lecture on differential geometry.
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1 Lesons
32 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - The Hodge Operator via an Inner Product

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Explore the generalized Hodge operator for m-forms using inner products, advancing understanding of differential geometry and mathematical physics concepts.
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1 Lesons
29 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - The Exterior Derivative and Vector Calculus

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Explore the connection between classical vector calculus operators and differential forms, focusing on the exterior derivative and Hodge operator in this concise mathematical explanation.
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6 Lesons
20 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - Integrating M-Forms

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Explore the concept of integrating differential m-forms on m-dimensional hypersurfaces in R^n, including theory and practical examples to enhance understanding of this advanced mathematical topic.
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5 Lesons
20 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - What Is an M-Form?

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Explore the formal definition, examples, and general structure of m-forms in differential geometry, enhancing understanding of this advanced mathematical concept.
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5 Lesons
23 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - 2-Forms

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Introduction to 2-forms in differential geometry, defining the concept and providing examples to illustrate their properties and applications in mathematical analysis.
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1 Lesons
22 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - The Geometry of Multiplying 1-Forms

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Explore the geometric interpretation of multiplying 1-forms in differential geometry, enhancing understanding of this advanced mathematical concept through examples and visual explanations.
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1 Lesons
20 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - Boundaries of M-Cells and M-Chains

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Explore the concept of boundaries in differential forms, focusing on m-cells and m-chains. Learn to calculate examples and understand their mathematical significance in this concise tutorial.
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1 Lesons
20 minutes
On-Demand
Free-Video
Michael Penn

Differential Forms - Integrals of M-Forms Over M-Chains

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Explore m-cells, m-chains, and integration of differential forms over various dimensions, with practical examples for 0, 1, and 2-forms and chains.
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1 Lesons
22 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
Fields Institute

Eisenstein Cocycles and Values of L-Functions

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Explore Eisenstein cocycles, equivariant cohomology, and their applications to L-functions. Gain insights into recent constructions and their connections to theta kernels and arithmetic groups.
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16 Lesons
55 minutes
On-Demand
Free-Video
IMSA

Coassociative Fibrations in G2 Geometry

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Explore G2 geometry in 7D spaces, focusing on coassociative submanifolds. Learn about their properties, deformation theory, and constructions forming fibrations with singular fibers in 7-manifolds.
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1 Lesons
58 minutes
On-Demand
Free-Video
IMSA

The Geometric Andre-Grothendieck Period Conjecture

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Explore complex algebraic varieties, period integrals, and the Ax-Schanuel conjecture. Delve into transcendence theory of period maps and the Andre-Grothendieck period conjecture's functional version.
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1 Lesons
1 hour 3 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
Hausdorff Center for Mathematics

Numerical Approach to Polylogarithms on Higher-Genus Riemann Surfaces

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Explore numerical evaluation of polylogarithms on genus-two Riemann surfaces using Schottky parametrization and averaging over genus-one differential forms, advancing particle physics research.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Applied Algebraic Topology Network

Cohomology Classes in the RNA Transcriptome

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Explore how cohomology classes in single-cell sequencing data can model transient biological processes, using persistent cohomology and differential forms to infer gene expression dynamics.
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1 Lesons
45 minutes
On-Demand
Free-Video
Gautam Varde

Exact Differential Forms and Equations in Vector Calculus - Problems and Solutions

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Learn to identify and solve exact differential forms in vector calculus, with practical problem-solving techniques and applications.
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1 Lesons
13 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Real-Normalized Differential with a Single Order 2 Pole

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Explore real-normalized differentials with a single order 2 pole in this advanced mathematical talk by Alexandra Skripchenko, delving into combinatorics, dynamics, and geometry on moduli spaces.
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1 Lesons
59 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Hyperbolic versus Elliptic Equations and Electromagnetic Field as 4D-Differential Two-Form - Lecture 9

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Explore hyperbolic and elliptic equations, differential geometric notation, and electromagnetic fields as 4D-differential two-forms in this advanced theoretical physics lecture.
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1 Lesons
1 hour 41 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Lipschitz Constant and Degree of Mappings in Riemannian Manifolds

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Explore the relationship between Lipschitz constant and degree of mappings in Riemannian manifolds, focusing on recent developments and clever mapping techniques.
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17 Lesons
52 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

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

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Explore the $L^p$ spectrum of the Laplacian on manifolds, including resolvent sets, Weyl criterion, and hyperbolic space, with insights on conformally compact manifolds.
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1 Lesons
59 minutes
On-Demand
Free-Video
Banach Center

Principal Differential Calculi on Quantum Flag Manifolds

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Explore quantum flag manifolds through principal differential calculi, covering key concepts like Schneider Theorem and covariant calculi with Thomas Weber.
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12 Lesons
1 hour 12 minutes
On-Demand
Free-Video
Centre de recherches mathématiques - CRM

A Weighted Reilly Formula for Differential Forms and Sharp Steklov Eigenvalue Estimates - Lecture

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Explore weighted Reilly formula for differential forms and its applications in sharp Steklov eigenvalue estimates. Gain insights into spectral geometry and related open problems.
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1 Lesons
52 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 20

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Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.
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1 Lesons
1 hour 25 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 13

0 rewiews
Aprofunde-se em análise em variedades, explorando tópicos avançados como fibrados, formas diferenciais e o Teorema de Stokes. Desenvolva habilidades essenciais para pesquisa em geometria diferencial e topologia.
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1 Lesons
1 hour 30 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 22

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Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Análise em Variedades - Aula 21

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Explore conceitos avançados de análise em variedades, incluindo fibrados tangentes, formas diferenciais e o Teorema de Stokes, com aplicações práticas em geometria diferencial.
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1 Lesons
1 hour 31 minutes
On-Demand
Free-Video
Institute for Advanced Study

Adjoints and Canonical Differential Forms

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Explore the mathematical foundations of adjoints and canonical differential forms through advanced combinatorial physics concepts and their applications in fundamental theory.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video