Reductive Groups Courses and Certifications

Institute for Mathematical Sciences

Unipotent Character Sheaves and Strata of a Reductive Group

Explore unipotent character sheaves and strata of reductive groups with George Lusztig, delving into advanced mathematical concepts and their applications.

• YouTube
• 49 minutes
• On-Demand
• Free Online Course

Eigenvarieties and Arithmetic - Connection to L-Functions

Explore eigenvarieties, p-adic automorphic forms, and their connection to L-functions. Discover the local geometry of eigenvarieties and its significance in arithmetic.

• YouTube
• 57 minutes
• On-Demand
• Free Online Course

International Mathematical Union

Representations of Reductive Groups Over Local Fields

Explore reductive group representations over local fields with Tasho Kaletha, delving into advanced mathematical concepts and their applications in algebraic number theory.

• YouTube
• 43 minutes
• On-Demand
• Free Online Course

Hausdorff Center for Mathematics

Generic Character Sheaves for Parahoric Subgroups

Exploration of Lusztig's character sheaves theory, extending to positive-depth cases and addressing Lusztig's conjecture. Focuses on perverse sheaves and parahoric Deligne-Lusztig induction in representation theory.

• YouTube
• 59 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

The Mystery and Magic of Component Tableaux by Anthony Joseph

Explore the intricacies of component tableaux in representation theory, uncovering their mysterious properties and magical applications in algebraic structures.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Symmetric Closed Subsets of Real Affine Root Systems and Regular Su - Short Talk by Irfan Habib

Explores symmetric closed subsets of real affine root systems and their applications in representation theory, focusing on algebraic and combinatorial methods.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Abelianizations of Lie Algebras by Dynkin Combinatorics

Explore Dynkin combinatorics to understand abelianizations of Lie algebras, delving into advanced algebraic structures and their representations in modern mathematics.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Representations of Extended Affine Lie Algebras by Senapathi Eswara Rao

Explore representations of extended affine Lie algebras, delving into advanced algebraic structures and their applications in mathematical physics and quantum field theory.

• YouTube
• 52 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

From Faces of Weyl Polytopes, to Weights and Characters of Highest Weight Modules by Apoorva Khare

Explore connections between Weyl polytopes, weights, and characters in highest weight modules. Gain insights into algebraic and combinatorial methods in representation theory.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Online Course

Institute for Pure & Applied Mathematics (IPAM)

Support Variety Theory for Algebraic Supergroups

Explore algebraic supergroups and support variety theory in this advanced mathematics lecture, focusing on representations and Frobenius symmetric monoidal tensor categories.

• YouTube
• 52 minutes
• On-Demand
• Free Online Course

International Centre for Theoretical Sciences

Hasse Principle for Reductive Groups over P-Adic Function Fields

Explore the Hasse Principle for reductive groups over p-adic function fields in this advanced mathematics lecture by Raman Parimala, part of a program on Zariski dense subgroups and number theory.

• YouTube
• 58 minutes
• On-Demand
• Free Online Course