Modular Representation Theory Courses and Certifications

Institute for Advanced Study

Seminar on Geometric and Modular Representation Theory

Explore advanced topics in geometric and modular representation theory through expert lectures on Broué's conjecture, affine Grassmannians, Satake equivalence, and Hecke categories.

• YouTube
• 1 day 8 hours 29 minutes
• On-Demand
• Free Video

BIMSA

Lie Theory in Tensor Categories with Applications to Modular Representation Theory

Delve into advanced mathematical concepts of Lie theory in tensor categories and their applications to modular representation theory, focusing on decomposition theorems and algebraic number properties.

• YouTube
• 1 hour 20 minutes
• On-Demand
• Free Video

Institute for Advanced Study

The Affine Hecke Category Is a Monoidal Colimit - James Tao

Explore the affine Hecke category's structure as a monoidal colimit, delving into geometric and modular representation theory with expert James Tao from MIT.

• YouTube
• 1 hour 23 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Stratification and Duality for Representations of Finite Groups - Lecture 4

Explore finite group representations through stratification and duality concepts. Delve into advanced algebraic techniques and their applications in modular representation theory.

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

International Centre for Theoretical Sciences

Ambidexterity III by Neil Strickland

Explore advanced concepts in algebraic topology, focusing on ambidexterity and its applications in duality phenomena within tensor-triangulated categories.

• YouTube
• 1 hour 33 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Quillen Stratification Theorems - Lecture 4

Explore Quillen Stratification Theorems in algebraic topology, examining their applications and implications for understanding cohomological support varieties and triangulated categories.

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

International Centre for Theoretical Sciences

Localisation in Homotopy Theory by Abhinandan Das

Explore localization techniques in homotopy theory, focusing on applications and implications for understanding topological spaces and their properties.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Duality and Stratification in Commutative Algebra by Srikanth B. Iyengar

Explore duality and stratification in commutative algebra, focusing on derived categories, triangulated structures, and connections to algebraic topology and representation theory.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

The Weight Part of Serre's Conjecture and the Emerton-Gee Stack

Explore the Breuil-Mezard conjecture's impact on local deformation rings and its connection to Serre's conjecture, focusing on recent advancements in moduli stack theory and p-adic Galois representations.

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

International Centre for Theoretical Sciences

Stratification and Duality for Representations of Finite Groups - Lecture 2

Explore advanced concepts in finite group representation theory, focusing on stratification and duality principles. Gain insights into algebraic structures and their applications in mathematics.

• YouTube
• 1 hour 25 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

Explore the ring of virtual characters in finite groups, focusing on the trivial source ring and its connections to modular representation theory.

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

Centre de recherches mathématiques - CRM

Similarities Between Representation Theories of Finite Groups in Positive Characteristic and Algebraic Supergroups

Explore similarities between representation theories of finite groups in positive characteristics and algebraic supergroups, including Sylow subgroups and Green correspondence for supergroups.

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

International Centre for Theoretical Sciences

Quillen's Stratification Theorems - Lecture 3

Explore Quillen's Stratification Theorem(s) in algebraic topology, focusing on key concepts, applications, and implications for understanding cohomological support varieties and triangulated categories.

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

International Centre for Theoretical Sciences

Quillen's Stratification Theorems - Lecture 2

Explore Quillen's Stratification Theorem(s) in algebraic topology, focusing on key concepts, applications, and implications for understanding cohomological support varieties and triangulated categories.

• YouTube
• 1 hour 22 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Stratification and Duality for Representations of Finite Groups - Lecture 3

Explore advanced concepts in finite group representation theory, focusing on stratification and duality principles. Gain insights into algebraic structures and their applications in mathematics.

• YouTube
• 1 hour 18 minutes
• On-Demand
• Free Video