Langlands Program Courses and Certifications

Fields Institute

Automorphic Forms and Representation Theory - An Introduction to the Langlands Program

Dive into automorphic forms and representation theory through the groundbreaking Langlands Program, exploring deep connections between number theory and harmonic analysis.

• YouTube
• 1 day 6 hours 51 minutes
• On-Demand
• Free Video

BIMSA

New Geometric Structures in the Langlands Program

Explore new geometric structures in the Langlands program, including the moduli space of G-bundles on the curve, and their role in constructing the semi-simple local Langlands correspondence.

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

Harvard CMSA

The Langlands Program via Arithmetic Quantum Field Theory - Talk 1

Dive into advanced mathematical concepts exploring the Langlands program through the lens of arithmetic quantum field theory, featuring expert insights on geometric formulations and boundary theories.

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

Harvard CMSA

The Langlands Program via Arithmetic Quantum Field Theory - Talk 2

Delve into advanced mathematical concepts exploring the Langlands program through the lens of arithmetic quantum field theory with renowned mathematician David Ben-Zvi.

• YouTube
• 1 hour 19 minutes
• On-Demand
• Free Video

Harvard CMSA

The Langlands Program via Arithmetic Quantum Field Theory

Explore the intersection of quantum field theory and the Langlands program through advanced mathematical concepts and their arithmetic applications in modern theoretical physics.

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

Harvard CMSA

Math Science Lectures in Honor of Raoul Bott

Explore advanced mathematical concepts through prestigious lectures honoring Raoul Bott, covering integrability, knot theory, quantum topology, and Langlands program.

• YouTube
• 12 hours 24 minutes
• On-Demand
• Free Video

Harvard CMSA

Arithmetic Quantum Field Theory Program Lecture Series

Explore advanced connections between arithmetic topology, quantum field theory, and the Langlands program through expert lectures on algebraic QFT, automorphic forms, and mathematical physics.

• YouTube
• 23 hours 57 minutes
• On-Demand
• Free Video

Harvard CMSA

The Geometric Langlands Conjecture

Delve into advanced mathematical concepts as Sam Raskin explains the proof and main ideas behind the unramified, global geometric Langlands conjecture in this Yale-Harvard collaboration.

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

BIMSA

Functions on the Commuting Stack via Langlands Duality - ICBS 2024

Explore complex reductive group theory, analyzing cocenters of affine Hecke categories and calculating Whittaker object endomorphisms to derive formulas for commuting stacks.

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

BIMSA

The Global Unramified Geometric Langlands Equivalence

Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

BunG Seminar

Shtukas and Global Langlands for Function Fields - Talk 37

Delve into V. Lafforgue's groundbreaking proof of global Langlands correspondence, exploring shtukas, geometric Satake, and excursion operators in function fields through expert analysis.

• YouTube
• 2 hours 7 minutes
• On-Demand
• Free Video

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Some Conjectures on Arthur Packets and L-packets

Explore advanced conjectures extending tempered L-packet theory to non-tempered Arthur packets in the Langlands program, examining wave fronts and character singularities.

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

IMSA

Schwartz Spaces Associated with the Stack of Rank 2 Bundles on a Curve over a Local Field

Delve into advanced mathematical concepts of Schwartz spaces, exploring their connection to rank 2 bundles on curves over local fields and the Analytic Langlands program's implications.

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

Harvard CMSA

From Geometric to Classical Langlands

Explore the geometric Langlands equivalence and its implications for automorphic functions, including connections to Ramanujan and Arthur multiplicity conjectures.

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

Harvard CMSA

Theta Correspondence and Relative Langlands

Delve into advanced mathematical concepts exploring theta correspondence, hyperspherical varieties, and relative Langlands duality through geometric constructions and principal series representations.

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