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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
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
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 15

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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 47 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 08

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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 55 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 07

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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 48 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 06

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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 51 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 05

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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 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 11

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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 39 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 09

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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 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
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 04

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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 03

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Aprofunde-se na Álgebra Comutativa com o Professor Eduardo Esteves, explorando conceitos avançados e aplicações práticas nesta aula de doutorado do IMPA.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
Instituto de Matemática Pura e Aplicada

Doutorado: Álgebra Comutativa - Aula 02

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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 01

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Explore os fundamentos da Álgebra Comutativa em nível de doutorado com o Professor Eduardo Esteves, abordando conceitos avançados e teorias essenciais para pesquisadores em matemática pura.
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1 Lesons
2 hours 2 minutes
On-Demand
Free-Video
BunG Seminar

Algebraic D-Modules: A Basic Review - Talk 12

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Dive into the fundamentals of algebraic D-modules through a comprehensive review based on J. Bernstein's notes, exploring key concepts and theoretical foundations.
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1 Lesons
1 hour 36 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - More Ring Theory Examples

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Explore advanced ring theory concepts, including ideals and homomorphisms in matrix and polynomial rings, with in-depth examples and proofs.
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1 Lesons
40 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - Properties and Examples of Ring Homomorphisms

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Explore ring homomorphisms' properties and examples, including proofs and comparisons of isomorphic groups versus rings in abstract algebra.
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5 Lesons
24 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - Ring Homomorphisms

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Explore ring homomorphisms in abstract algebra, including definitions, examples, and key properties like multiplicative behavior and kernels.
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7 Lesons
20 minutes
On-Demand
Free-Video
Michael Penn

Abstract Algebra - Units and Zero Divisors of a Ring

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Explore units and zero divisors in Zn and 2x2 real matrices, classifying elements and proving key properties in abstract algebra.
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7 Lesons
23 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

Structure of Group Rings and the Group of Units of Integral Group Rings - Lecture 1

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Explores group rings, their structure, and units of integral group rings. Covers idempotents, invertible elements, augmentation mapping, and constructions of units including Bass and cyclotomic units.
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24 Lesons
57 minutes
On-Demand
Free-Video
Hausdorff Center for Mathematics

The Module Structure of a Group Action on a Ring

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Explore finite group actions on graded algebras, examining module multiplicities and their connections to homological algebra and geometric group actions.
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1 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

Frobenius Maps on the Rings of Invariants

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Explore Frobenius maps and their applications to invariant theory, focusing on algebraic structures and group actions in characteristic p.
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1 Lesons
49 minutes
On-Demand
Free-Video
ICTP Mathematics

50 Years of Mathematics - The Work of Melvin Hochster

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Explore the profound impact of Melvin Hochster's contributions to mathematics over five decades, highlighting key breakthroughs and their significance in the field.
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1 Lesons
1 hour 11 minutes
On-Demand
Free-Video
ICTP Mathematics

Uniform Artin-Rees Results - Part 2

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Explore advanced concepts in tight closure theory, focusing on uniform Artin-Rees results and their applications in algebraic geometry and commutative algebra.
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1 Lesons
50 minutes
On-Demand
Free-Video
ICTP Mathematics

An Overview of Tight Closure of Ideals - Part 1

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Explore the fundamental concepts and applications of tight closure theory in commutative algebra, focusing on ideals and their properties in ring theory.
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1 Lesons
1 hour 7 minutes
On-Demand
Free-Video
ICTP Mathematics

Direct Summands of Regular Rings - Part 2

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Explore advanced concepts in tight closure theory, focusing on direct summands of regular rings and their applications in algebraic geometry and commutative algebra.
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1 Lesons
55 minutes
On-Demand
Free-Video
ICTP Mathematics

Direct Summands of Regular Rings - Part 3

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Explore advanced concepts in tight closure theory, focusing on direct summands of regular rings and their applications in algebraic geometry and commutative algebra.
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1 Lesons
54 minutes
On-Demand
Free-Video
Michael Penn

How the Power Set Forms a Ring

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Explore how the power set forms a ring in this mathematical demonstration, showcasing set theory principles and algebraic structures.
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1 Lesons
27 minutes
On-Demand
Free-Video
Fields Institute

From Rings of Operators to Noncommutative Geometry - Lecture 1

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Explore the evolution from rings of operators to noncommutative geometry with renowned mathematician Alain Connes in this insightful Fields Institute lecture.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Rings of Siegel-Jacobi Forms of Bounded Relative Index Are Not Finitely Generated

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Explore Siegel-Jacobi forms and their non-finitely generated rings of bounded relative index in this advanced mathematical presentation by Ana Botero.
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1 Lesons
59 minutes
On-Demand
Free-Video
NCCR SwissMAP

On the Image of the Trivial Source Ring in the Ring of Virtual Characters of a Finite Group

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Explore the ring of virtual characters in finite groups, focusing on the trivial source ring and its connections to modular representation theory.
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8 Lesons
22 minutes
On-Demand
Free-Video
Centre International de Rencontres Mathématiques

Around NIP Noetherian Domains

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Explore NIP Noetherian domains in this advanced mathematical lecture, delving into complex algebraic concepts and their implications.
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1 Lesons
1 hour 8 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

A Homotopical Approach to Crystalline Cohomology

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Explore a homotopical approach to crystalline cohomology, focusing on higher homotopies for canonical lifts and easier global definition through gluing.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video
Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks: New Foundations for Analytic Geometry

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Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
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1 Lesons
2 hours 10 minutes
On-Demand
Free-Video
Banach Center

Sums of Squares in Leavitt Path *-Algebras and Beyond

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

Graded and Filtered K-Theory for Leavitt Path Algebras

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Explore graded and filtered K-theory applications to Leavitt path algebras in this advanced mathematical seminar by Huanhuan Li.
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1 Lesons
1 hour 6 minutes
On-Demand
Free-Video
BunG Seminar

Localizing Motives, Algebraic KK-Theory and Refined Negative Cyclic Homology

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Delve into advanced algebraic geometry concepts exploring localizing motives, their rigidity properties, and applications in refined negative cyclic homology and topological cyclic homology.
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1 Lesons
2 hours 29 minutes
On-Demand
Free-Video
BunG Seminar

The Moduli Stack of Displays - Introduction to Zink's Display Theory

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Delve into advanced algebraic geometry concepts through Zink's display theory, exploring Dieudonne theory extensions and connections to Barsotti-Tate groups in characteristic p settings.
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1 Lesons
2 hours 4 minutes
On-Demand
Free-Video
ACM SIGPLAN

Formalizing Giles Gardam's Disproof of Kaplansky's Unit Conjecture

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Explore the formalization of Giles Gardam's disproof of Kaplansky's Unit Conjecture using Lean 4, combining deductive proving and verified computation.
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1 Lesons
30 minutes
On-Demand
Free-Video
Institute for Advanced Study

Hopf Algebras in the Cohomology of A_g

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Delve into advanced mathematical concepts exploring Hopf algebras and their role in cohomology of A_g, examining fundamental relationships in algebraic geometry and combinatorial physics.
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1 Lesons
1 hour 5 minutes
On-Demand
Free-Video