Homological Algebra Courses and Certifications

Cambridge University Press

A Characterisation of Higher Torsion Classes

Delve into the mathematical theory of d-torsion classes in abelian length categories, exploring their characterization through d-extensions and d-quotients, with applications to higher Auslander algebras.

• YouTube
• 13 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Introduction to Localization and the Residue Theorem for Foliations - 02

Explore homological methods for analyzing algebraic structures through advanced mathematical techniques and theoretical frameworks in this specialized minicourse session.

• YouTube
• 1 hour 34 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Introduction to Localization and the Residue Theorem for Foliations - 01

Explore homological methods for studying algebraic structures through localization and residue theorems for foliations in this advanced mathematical minicourse.

• YouTube
• 1 hour 26 minutes
• On-Demand
• Free Video

Fields Institute

Homological Methods in Commutative Algebra - Talk 3

Explore advanced homological techniques in commutative algebra through expert analysis of algebraic structures and their applications in modern mathematical research.

• YouTube
• 54 minutes
• On-Demand
• Free Video

Fields Institute

Homological Methods in Commutative Algebra - Talk 2

Explore advanced homological techniques in commutative algebra through expert analysis of algebraic structures and their applications in modern mathematical research.

• YouTube
• 48 minutes
• On-Demand
• Free Video

Fields Institute

Homological Methods in Commutative Algebra - Talk 1

Discover foundational homological techniques in commutative algebra through expert mathematical exposition and rigorous theoretical development.

• YouTube
• 53 minutes
• On-Demand
• Free Video

BunG Seminar

Higher Category Theory: DG Categories and Homological Algebra Applications - Talk 13

Dive into higher category theory fundamentals, exploring DG categories and their applications in homological algebra through expert insights and practical examples.

• YouTube
• 1 hour 50 minutes
• On-Demand
• Free Video

Applied Algebraic Topology Network

Solving Systems of ODEs via Combinatorial Homological Algebra

Exploring efficient computation of homological representations in dynamical systems, with applications to differential equations and parameter space analysis.

• YouTube
• 52 minutes
• On-Demand
• Free Video

Introduction to Algebraic Topology

Explore algebraic invariants of topological spaces through fundamental groups, homology groups, and covering spaces with computational techniques and mathematical applications.

• Swayam
• 12 weeks
• On-Demand
• Free Online Course

Institut des Hautes Etudes Scientifiques (IHES)

Mathematics on the Crossroad of Centuries

Explore cutting-edge mathematics bridging algebra, geometry, topology, and physics through expert lectures honoring Maxim Kontsevich's groundbreaking contributions.

• YouTube
• 20 hours 55 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - New Foundations for Analytic Geometry

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.

• YouTube
• 1 hour 48 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - Lecture 6

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.

• YouTube
• 1 hour 49 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Analytic Stacks - Lecture 5

Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples with renowned mathematician Peter Scholze.

• YouTube
• 1 hour 46 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Twisted K-theory in Motivic Homotopy Theory

Explore algebraic K-theory of vector bundles twisted by Brauer class, its role in motivic homotopy theory, and a new approach to the motivic spectral sequence for twisted K-theory.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Localizing Invariants and Algebraic K-theory - Part 1

Explore localizing invariants in algebraic K-theory, from classical foundations to recent developments, with emphasis on descent properties and applications.

• YouTube
• 1 hour 21 minutes
• On-Demand
• Free Video