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Abstract Algebra

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Explore fundamental concepts of abstract algebra, including groups, rings, fields, and vector spaces, with a focus on definitions, examples, and key theorems.
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33 Lesons
3 hours 30 minutes
On-Demand
Free-Video
NPTEL

Modern Algebra

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Explore fundamental concepts and advanced topics in modern algebra through a comprehensive series of lectures by Prof. Manindra Agrawal, covering key principles and applications.
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19 Lesons
14 hours
On-Demand
Free-Video
Santa Fe Institute

How Field Theory Can Help Solve Problems in Ecology - 2011

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Explore how field theory concepts from physics can be applied to solve ecological problems, offering new insights into biodiversity and ecosystem dynamics.
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1 Lesons
39 minutes
On-Demand
Free-Video

Abstract Algebra - Polynomial Rings

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Explora el álgebra abstracta con enfoque en anillos polinomiales, algoritmo de división, polinomios irreducibles y criterio de Eisenstein.
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8 Lesons
2 hours 30 minutes
On-Demand
Free-Video
Dr. Gajendra Purohit

Group Theory

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Comprehensive exploration of group theory, covering key concepts from basic definitions to advanced topics like Sylow theorems, ideal for mathematics and engineering students.
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62 Lesons
20 hours
On-Demand
Free-Video
Institute for Advanced Study

Covariant Phase Space with Boundaries - Daniel Harlow

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Explore covariant phase space with boundaries in field theory, covering key concepts like configuration space, prephase space, and Hamiltonian construction.
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16 Lesons
1 hour 21 minutes
On-Demand
Free-Video
Institute for Advanced Study

String Topology and the Intersection Product - Nathalie Wahl

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Explore string topology, intersection products, and loop spaces in this advanced mathematical seminar by Nathalie Wahl, delving into field theory and coproducts.
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8 Lesons
46 minutes
On-Demand
Free-Video
Institute for Advanced Study

Toy Models for Black Holes III - Juan Maldacena

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Explore advanced concepts in theoretical physics, including black hole dynamics, spacetime interactions, and quantum teleportation with renowned physicist Juan Maldacena.
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10 Lesons
1 hour 39 minutes
On-Demand
Free-Video
ICTP Mathematics

Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2, Lecture 1

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Exploración de superficies racionales sobre cuerpos: conceptos fundamentales y aplicaciones en geometría algebraica y teoría de números.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
ICTP-SAIFR

Apresentação Final: Teoria de Campos - Princípios e Aplicações - Parte 2

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Explore os princípios e aplicações da teoria de campos através de apresentações de jovens cientistas, orientados por uma doutoranda em Física Teórica.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 14

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Aprofunde-se na Álgebra Comutativa com o Professor Eduardo Esteves em uma aula avançada de doutorado, explorando conceitos complexos e teoremas fundamentais da área.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 19

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Aprofunde-se na Álgebra Comutativa com o Professor Eduardo Esteves, explorando conceitos avançados e aplicações em nível de doutorado.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 18

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Aprofunde-se na Álgebra Comutativa com o Professor Eduardo Esteves, explorando conceitos avançados e aplicações em nível de doutorado.
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1 Lesons
1 hour 59 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 17

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Aprofunde-se na Álgebra Comutativa com o Professor Eduardo Esteves, explorando conceitos avançados e aplicações em nível de doutorado.
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1 Lesons
1 hour 56 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 10

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Aprofunde-se na Álgebra Comutativa com o Professor Eduardo Esteves em uma aula avançada de doutorado, explorando conceitos complexos e teoremas fundamentais da área.
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1 Lesons
2 hours
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 13

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Aprofunde-se na Álgebra Comutativa com o Professor Eduardo Esteves em uma aula avançada de doutorado, explorando conceitos complexos e teoremas fundamentais da área.
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1 Lesons
2 hours 1 minute
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 12

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Aprofunde-se na Álgebra Comutativa com o Professor Eduardo Esteves, explorando conceitos avançados e aplicações em nível de doutorado.
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1 Lesons
1 hour 45 minutes
On-Demand
Free-Video
CIMPA UCR

Contando Cuerpos de Números Algebraicos

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Explora la teoría de cuerpos de números algebraicos y sus aplicaciones en matemáticas avanzadas. Profundiza en conceptos fundamentales y técnicas de conteo.
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1 Lesons
59 minutes
On-Demand
Free-Video
Insights into Mathematics

How to Construct the True Complex Numbers I - Famous Math Problems

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Exploring the construction of true complex numbers using field theory and linear algebra, challenging traditional approaches and introducing novel concepts for a modern understanding.
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8 Lesons
37 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Mirror Symmetry for Character Varieties and Field Theory by Sergey Galkin

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Explore mirror symmetry for character varieties, using threespace mirrors to construct SU(2) character variety mirrors on Riemann surfaces, with applications in topological field theory and random walks.
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24 Lesons
3 hours 12 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Tropical Limit of String Theory and Feynman Integrals

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Explore the intersection of string theory, Feynman integrals, and tropical geometry. Discover how tropical limits provide insights into complex physical phenomena and algebraic structures.
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28 Lesons
1 hour 19 minutes
On-Demand
Free-Video
International Mathematical Union

The Geometry of Geometries - Matroid Theory, Old and New

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Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.
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1 Lesons
46 minutes
On-Demand
Free-Video
ICTP Mathematics

Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2 - Lecture 5

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Explora superficies racionales sobre cuerpos en esta conferencia avanzada de matemáticas, examinando conceptos clave y resultados recientes en geometría algebraica aritmética.
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1 Lesons
53 minutes
On-Demand
Free-Video
ICTP Mathematics

Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2 - Lecture 4

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Explora superficies racionales sobre cuerpos en esta conferencia avanzada de matemáticas, abordando conceptos de geometría algebraica y teoría de números.
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1 Lesons
56 minutes
On-Demand
Free-Video
ICTP Mathematics

Superficies Racionales sobre un Cuerpo - AGRA IV Minicourse 2, Lecture 2

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Explora superficies racionales sobre cuerpos, profundizando en conceptos avanzados de geometría algebraica y teoría de números con expertos internacionales.
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1 Lesons
55 minutes
On-Demand
Free-Video
Fields Institute

Surreal Numbers and Transseries - Lecture 3

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Explore advanced mathematical concepts of surreal numbers and transseries, delving into their properties, applications, and connections to asymptotic analysis.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
Fields Institute

Surreal Numbers and Transseries - Lecture 2

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Explore advanced mathematical concepts of surreal numbers and transseries, delving into their properties and applications in asymptotic analysis.
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1 Lesons
53 minutes
On-Demand
Free-Video
Fields Institute

Topics in Applied Model Theory - Lecture 12

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Explore advanced concepts in model theory, including risky closures, algebraic groups, and PAC fields, with expert insights from Zoé Chatzidakis of CNRS-ENS.
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8 Lesons
1 hour 34 minutes
On-Demand
Free-Video
Fields Institute

Essential Dimension in Algebra

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Explore the concept of essential dimension in algebra, its applications, and recent developments with renowned mathematician Alexander Merkurjev from UCLA.
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1 Lesons
41 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Scalar Quantum Fields on 4-Dimensional Noncommutative Geometry

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Explore milestones in renormalisable and solvable scalar QFT models on 4D noncommutative geometry, reflecting on a 25-year collaboration.
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1 Lesons
35 minutes
On-Demand
Free-Video
Wolfram

Finite Fields and Their Applications

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Explore new Mathematica 13.3 features for finite field computations, including arithmetic, mappings, and polynomials. Learn about upcoming linear algebra and equation solving capabilities.
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1 Lesons
27 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Galois Extensions and Galois Groups - Lecture 14

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Explore Galois extensions and groups, delving into fundamental concepts and initial examples in algebraic theory.
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1 Lesons
31 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Existence Theorem for Finite Fields

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Explore the existence theorem for finite fields, proving their existence for every prime power order.
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1 Lesons
15 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Subfields of a Finite Field

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Explore the concept of subfields within finite fields, understanding their properties and significance in abstract algebra and number theory.
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1 Lesons
12 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Solvable Groups: Polynomial Solvability and Galois Theory - Part 1

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Explore solvable groups, their connection to polynomial solvability, and their applications in Galois theory and field theory.
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1 Lesons
27 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

The Fundamental Theorem of Galois Theory - Lecture 1

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Explore the fundamental theorem of Galois Theory, delving into its core principles and applications in algebraic structures.
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1 Lesons
24 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Solvability by Radicals - Lecture 37

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Explore solvability by radicals, examining examples and radical extensions to deepen understanding of algebraic problem-solving techniques.
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1 Lesons
37 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

An Invitation to Globally Valued Fields

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Explore globally valued fields in mathematics through an in-depth lecture by Ehud Hrushovski, delving into advanced concepts and their applications.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Beyond the Fontaine-Wintenberger Theorem

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Explore advanced mathematical concepts beyond the Fontaine-Wintenberger theorem in this in-depth conference talk by Konstantinos Kartas.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Contracting Endomorphisms of Valued Fields

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Explore contracting endomorphisms of valued fields in this advanced mathematical lecture by Yuval Dor, delving into complex algebraic concepts and theories.
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1 Lesons
54 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Homology Groups in Algebraically Closed Valued Fields

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Explore homology groups in algebraically closed valued fields through an in-depth mathematical lecture by Pablo Cubides-Kovacsics at CIRM's thematic meeting.
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1 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Transfer of Decidability for Existential Theories of Valued Fields

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Explore transfer of decidability for existential theories of (valued) fields with Sylvy Anscombe in this mathematical conference talk from CIRM's Audiovisual Mathematics Library.
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1 Lesons
1 hour 3 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Quotients of Groups of Birational Transformations - Class 4

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Explore quotients of birational transformation groups in this advanced algebraic geometry lecture by Susanna Zimmermann, part of the V Latin American School of Algebraic Geometry at IMPA.
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1 Lesons
1 hour 13 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Quotients of Groups of Birational Transformations - Class 3

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Explore quotients of birational transformation groups in algebraic geometry. Delve into advanced concepts with expert Susanna Zimmermann in this comprehensive lecture from the V Latin American School of Algebraic Geometry.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
Kyoto-U OCW - Unofficial

Frobenius写像の周辺 - 第2回

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Delve into advanced mathematical concepts of Frobenius mappings, finite fields, and Witt vectors through an accessible exploration of number theory fundamentals and polynomial rings.
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6 Lesons
1 hour 10 minutes
On-Demand
Free-Video
Math TAU

תורת גלואה - עבר ועתיד

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חקור את תורת גלואה, התפתחותה ההיסטורית והשלכותיה העתידיות בתחום המתמטיקה המתקדמת.
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1 Lesons
57 minutes
On-Demand
Free-Video
Bogolyubov Institute for Theoretical Physics

Contribution of One-Loop Corrections in the Decoupling Limit of Generalized Yukawa Model

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Delve into advanced theoretical physics concepts through an analysis of one-loop corrections in generalized Yukawa models, presented at the XIV Young Scientists Conference in Kyiv.
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1 Lesons
23 minutes
On-Demand
Free-Video
Kavli Institute for Theoretical Physics

What is Love? New Physics at the State of the Art with Spins - Michèle Levi

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Explore gravitational wave modeling and its impact on physics, connecting field theory, relativity, and scattering amplitudes. Learn about emerging tools and techniques for next-gen experiments.
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14 Lesons
45 minutes
On-Demand
Free-Video
Kavli Institute for Theoretical Physics

Predicting New Physics for Gravitational Wave Astronomy - William East

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Exploring new physics in gravitational wave astronomy, focusing on precision modeling, theoretical challenges, and emerging techniques for interpreting signals and searching for novel phenomena.
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22 Lesons
43 minutes
On-Demand
Free-Video
The Royal Institution

How Einstein Abolished the Aether - With John Spence

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Explore the history of light speed measurement and Einstein's revolutionary ideas, featuring stories of great scientists and their quest to understand the nature of light propagation in space.
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12 Lesons
1 hour
On-Demand
Free-Video
ICTP Mathematics

Hopf-Galois Extensions and Applications

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Explore Hopf-Galois theory, its applications in field extensions, and arithmetic properties derived from algebraic curves. Gain insights into this generalization of classical Galois theory.
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1 Lesons
55 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Kolmogorov Turbulence Coexists with Pseudo-Turbulence in Buoyancy-Driven Bubbly

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Explore the coexistence of Kolmogorov turbulence and pseudo-turbulence in buoyancy-driven bubbly flows, examining their interactions and implications for fluid dynamics research.
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1 Lesons
1 hour 37 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Discussion Meeting - Field Theory and Turbulence

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Explore connections between turbulence, field theory, and critical phenomena in this advanced physics discussion, featuring insights on scaling, fluid dynamics, and quantum gravity.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Unexpected Extreme Clustering in Particulate Flow by Rama Govindarajan

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Explore extreme clustering phenomena in particulate flow, examining unexpected behaviors and their implications for fluid dynamics and related fields.
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1 Lesons
1 hour 50 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Self-Organization and Critical Phenomena in Geophysical Turbulence by Pablo Mininni

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Explore self-organization and critical phenomena in geophysical turbulence with Pablo Mininni. Gain insights into complex fluid dynamics and their applications in Earth sciences.
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1 Lesons
1 hour 42 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Talk by Makoto Tsubota & Pankaj Mishra

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Exploration of field theory and turbulence connections, covering scaling theories, fluid circulation, quantum gravity, and singularities in fluid equations. Bridging fragmented progress in turbulence research.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Generalized Time-Reversal Symmetry and Effective Theories for Nonequilibrium Matter by Andrew Lucas

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Explore generalized time-reversal symmetry and effective theories for nonequilibrium matter in this advanced physics lecture, delving into complex concepts at the intersection of field theory and turbulence.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Unraveling Turbulence - Field Theory, Gravity and Deep Learning by Yaron Oz

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Explore connections between turbulence, field theory, and gravity. Discover how deep learning techniques can unravel complex fluid dynamics and advance our understanding of universal phenomena in physics.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Analysing D-Dimensional Turbulence Using Field Theory by Mahendra K Verma

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Explore field theory applications in d-dimensional turbulence analysis, covering scaling laws, energy transfers, and universal properties in fluid dynamics across various dimensions.
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1 Lesons
41 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Black Hole Dynamics at Large D by Shiraz Minwalla

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Explore black hole dynamics in higher dimensions, examining theoretical insights and implications for gravitational physics and field theory in this advanced physics lecture.
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1 Lesons
1 hour 44 minutes
On-Demand
Free-Video
Galileo Galilei Institute

A Covariant Action for Self-Dual p-Form Gauge Fields

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Explore covariant actions for self-dual p-form gauge fields, delving into advanced theoretical physics concepts and their implications in field theory and string theory.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Anomalies in Condensed Matter Physics - Lecture 2

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Explore topological and invertible phases in condensed matter physics, covering Majorana chains, bordism invariance, and symmetry-protected topological states.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Anomalies in Condensed Matter Physics - Lecture 1

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Explore topological phases, invertible phases, and symmetry-protected topological states in condensed matter physics through examples and theoretical frameworks.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Anomalies in Condensed Matter Physics - Lecture 4

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Explore topological phases, invertible phases, and symmetry-protected topological states in condensed matter physics through advanced concepts and illustrative examples.
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1 Lesons
1 hour 40 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Introduction to Anomalies in Condensed Matter Physics - Lecture 3

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Explore topological and invertible phases in condensed matter physics, covering Majorana chains, bordism invariance, and symmetry-protected topological states.
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1 Lesons
1 hour 28 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Carroll Swiftons - Exploring Carrollian Physics and Holography

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Explore Carroll Swiftons in-depth with Marc Henneaux, delving into Carrollian Physics and its connections to holography.
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1 Lesons
1 hour 1 minute
On-Demand
Free-Video
NPTEL-NOC IITM

Feynman Propagator in Quantum Field Theory - Part 2

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Explore the Feynman propagator in quantum field theory, focusing on scalar fields and their theoretical implications in particle physics.
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1 Lesons
25 minutes
On-Demand
Free-Video
Centrum Fizyki Teoretycznej PAN

Lorentz Transformation of the Electromagnetic Field - Continued - Lecture 11

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Explore advanced concepts in electromagnetic field transformations through Lorentz equations, building on previous knowledge in theoretical physics and relativity.
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1 Lesons
19 minutes
On-Demand
Free-Video
Simons Institute

Recent Advances in Quantum Simulation with Applications to Chemistry and Field Theory

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Explore recent quantum simulation advances in chemistry and field theory, covering time-dependent Hamiltonians, QDRIFT, Dyson series, and interaction picture simulation techniques.
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21 Lesons
45 minutes
On-Demand
Free-Video
TheIACR

Linear Layers in Cryptography - Session from Fast Software Encryption 2023

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Explore field structures, linear layers, and matrix decompositions in cryptography. Learn about evolutionary matrices and their applications in software encryption.
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11 Lesons
1 hour 5 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Uniqueness of Splitting Fields

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Explore the concept of uniqueness in splitting fields, examining their properties and significance in abstract algebra.
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1 Lesons
15 minutes
On-Demand
Free-Video
Dot Physics

Finding the Energy Density for Electric and Magnetic Fields

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Derive electric and magnetic field energy densities through step-by-step calculations and explanations.
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1 Lesons
13 minutes
On-Demand
Free-Video
Fields Institute

The Period-Index Problem for Higher Degree Galois Cohomology Groups Over Hensel Semi-Global Fields

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Delve into advanced Galois cohomology theory, exploring period-index relationships over Hensel semi-global fields and their implications for higher degree groups.
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1 Lesons
51 minutes
On-Demand
Free-Video
HyperComplex Seminar

Running Coupling from a Classical Soliton Model - Part 2

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Explore running coupling in field theory through a topological soliton model, examining its origins in finite-size electrons without singularities.
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1 Lesons
42 minutes
On-Demand
Free-Video
NPTEL-NOC IITM

Separable Extensions: Multiple Roots, Derivatives, and Inseparable Polynomials - Part 1

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Explore separable extensions, multiple roots, derivatives, and inseparable polynomials in field theory, enhancing understanding of algebraic structures.
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1 Lesons
30 minutes
On-Demand
Free-Video
HyperComplex Seminar

Running Coupling from a Classical Soliton Model - Part 1

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Explore running coupling in field theory through a topological particle model, examining its origins in finite-sized electron solitons without singularities.
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1 Lesons
1 hour 2 minutes
On-Demand
Free-Video
BIMSA

Ten Foundational Ideas of Theoretical Physics

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Explore ten foundational ideas of theoretical physics in a sweeping overview, providing insights for those interested but unfamiliar with the subject.
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1 Lesons
1 hour
On-Demand
Free-Video
Dublin Institute for Advanced Studies DIAS

Staggered Bosons - Novel Field Theories with Half Boson Degrees of Freedom

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Explore novel field theories with half-boson degrees of freedom per lattice site, examining gapless systems, topological properties, and connections to critical spin chains.
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1 Lesons
1 hour 18 minutes
On-Demand
Free-Video
IPhT-TV

Naturalness in Quantum Field Theory After the LHC - Lecture 1

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Explore fundamental concepts of Quantum Field Theory and naturalness principles through the lens of Large Hadron Collider findings in this advanced theoretical physics lecture.
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1 Lesons
2 hours 2 minutes
On-Demand
Free-Video
Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

First Order Differential Equations in Characteristic Zero and Characteristic p

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Explore advanced mathematical concepts of first-order differential equations across characteristic zero and characteristic p, with insights from leading mathematician Marius van der Put.
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1 Lesons
1 hour 12 minutes
On-Demand
Free-Video