Reductive Groups Courses and Certifications

Harvard CMSA

Covers of Reductive Groups and Functoriality in Local Field Theory

Delve into advanced mathematical concepts exploring covers of reductive groups, Langlands' functoriality principle, and their applications in local field theory and endoscopy.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

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 Video

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 Video

University of Chicago Department of Mathematics

Representations of Reductive Groups Over Local and Global Fields

Dive into Langlands' theory of reductive groups and their representations in number theory, exploring local and global fields and their connections to arithmetic and geometry.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

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 Video

International Centre for Theoretical Sciences

Pseudo-Reductive Groups by Brian Conrad

Explore pseudo-reductive groups with Brian Conrad, covering definitions, properties, and key theorems in this advanced mathematics lecture on algebraic group theory.

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

IMSA

On Some Fans and Toric Varieties Related to Branching Laws for Reductive Groups

Explore algebraic group embeddings and their representation theory through Geometric Invariant Theory, focusing on H-invariant vectors and the GIT-fan's role in encoding information.

• YouTube
• 1 hour 5 minutes
• On-Demand
• Free Video

IMSA

Unitary Representations of Reductive Lie Groups

Explore unitary representations of reductive Lie groups using Hodge theory, including progress on a conjecture. Joint work with Kari Vilonen presented by Harvard's Wilfried Schmid.

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

Hausdorff Center for Mathematics

Real Reductive Groups, K-Theory and the Oka Principle

Explore real reductive groups, K-theory, and the Oka principle in this advanced mathematics lecture, delving into representation theory and complex analysis concepts.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

On the Hasse Principle for Reductive Algebraic Groups Over Finitely Generated

Explore the Hasse Principle for reductive algebraic groups over finitely generated fields, delving into advanced number theory and algebraic geometry concepts.

• YouTube
• 1 hour 8 minutes
• On-Demand
• Free Video

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 Video

Hausdorff Center for Mathematics

Tasho Kaletha- A Local Langlands Conjecture for Disconnected Groups

Explore the generalization of Langlands' conjectures to disconnected groups, examining new phenomena and potential applications to refined local Langlands correspondence for both connected and disconnected groups.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

BIMSA

Structure of Equivariant Derived Categories - ICBS 2024

Explore equivariant derived categories, their structure theorems, and applications to GIT quotients and hidden symmetries in algebraic geometry.

• YouTube
• 53 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

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 Video