Langlands Program Courses and Certifications

Harvard CMSA

Going to the Boundary - Degenerating Marked Curves in Automorphic Moduli Spaces

Delve into advanced mathematical concepts exploring degenerating marked curves and their implications for automorphic moduli spaces, with applications to Langlands duality and Hecke categories.

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

Harvard CMSA

Analytic Langlands Correspondence Over C and R

Explore the analytic aspects of geometric Langlands correspondence, focusing on archimedean local fields and recent developments in mathematical physics and quantum field theory.

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

Harvard CMSA

Some Examples of the Relative Langlands Duality

Delve into advanced mathematical concepts of relative Langlands duality through real-world examples, exploring strongly tempered spherical varieties and trace formula comparisons.

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

BIMSA

Cocenter of Affine Hecke Categories and Langlands Duality

Explore the cocenter of affine Hecke categories and its connection to Langlands duality in this advanced mathematical research presentation.

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

Institute for Advanced Study

Affine Schubert Varieties Are Splinters

Explore how affine Schubert varieties achieve splinter properties through advanced algebraic geometry methods, extending Bhatt's results to all reductive groups.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Fields Institute

Some Conjectures on Arthur Packets and L-packets

Explore advanced conjectures connecting Arthur packets and L-packets in representation theory through expert mathematical analysis.

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

Fields Institute

Co-tempered A-packets and Local Intertwining Relations

Explore co-tempered A-packets and their local intertwining relations in this advanced mathematical lecture by Tasho Kaletha from the University of Bonn.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Fields Institute

Beyond Endoscopy for GL(2, K)

Explore advanced mathematical techniques extending beyond traditional endoscopic methods for the general linear group GL(2, K) in this specialized research presentation.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

A New Relative Trace Formula and Central Values of Standard L-Functions

Explore advanced connections between automorphic forms and L-functions through new relative trace formulas, featuring joint work on global conjectures and endoscopic comparisons.

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

Numberphile

The Langlands Program

Explore the Langlands Program, a grand unified theory of mathematics, with Professor Edward Frenkel. Discover connections between different mathematical fields and their profound implications.

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

Fields Institute

An Introduction to the Langlands Program

Explore the fascinating Langlands Program, a groundbreaking mathematical theory connecting number theory, geometry, and representation theory, in this engaging lecture by Clifton Cunningham.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 18

Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 14

Explore the Langlands Program, connecting automorphic forms and representation theory in advanced mathematics, with insights from James Arthur of the University of Toronto.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 3

Explore the Langlands Program through automorphic forms and representation theory, delving into advanced mathematical concepts and their interconnections.

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