Automorphic Forms Courses and Certifications

NCCR SwissMAP

Rigid Classes for SL(n) and p-adic Families of Modular Forms

Explore rigid classes for SL(n) and their connection to p-adic families of modular forms in this advanced mathematical presentation.

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

NCCR SwissMAP

p-adic Theta-functions and Rigid Meromorphic Cocycles

Explore p-adic theta-functions and their connection to rigid meromorphic cocycles in this advanced mathematical presentation from MPIM Bonn researcher Michael Alexander Daas.

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

NCCR SwissMAP

On the Geometric Side of Arthur's Trace Formula - 0109

Explore the geometric aspects of Arthur's trace formula in this advanced mathematical presentation by a Leipzig University researcher.

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

NCCR SwissMAP

A Dynamical Approach to the Bombieri-Iwaniec Method

Explore a dynamical perspective on the Bombieri-Iwaniec method for analyzing automorphic forms and number theory applications in this specialized mathematical presentation.

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

NCCR SwissMAP

Bloch-Kato Conjecture for Asai L-functions on U(3)

Explore the Bloch-Kato Conjecture for Asai L-functions on U(3) through advanced mathematical research presented by a leading expert in automorphic forms theory.

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

Harvard CMSA

Shalika Periods: Functoriality and Arithmetic

Delve into advanced mathematical concepts of Shalika periods, exploring their role in Langlands functoriality, automorphic descents, and applications to critical L-values of cuspidal automorphic forms.

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

BIMSA

Recent Progress on the Mixing Conjecture of Michel and Venkatesh

Explore recent advances in the Michel-Venkatesh mixing conjecture through cutting-edge mathematical research and theoretical developments.

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

Fields Institute

Invariance of the Zeroes of Automorphic L-Functions by Conjugation of Coefficients

Explore the invariance properties of zeroes in automorphic L-functions under coefficient conjugation with expert Laurent Clozel from CNRS.

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

Fields Institute

Fourier Expansion of Gan-Gurevich Lifts on the Exceptional Group of Type G_2

Explore Fourier expansion techniques for Gan-Gurevich lifts on exceptional group G_2 with advanced mathematical analysis and representation theory applications.

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

Institut des Hautes Etudes Scientifiques (IHES)

Steinberg Symbol and Tau Function

Explore Steinberg symbols as multiplicative bicharacters and their connection to tau functions, Heisenberg groups, and boson-fermion correspondence in advanced mathematical physics.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

On a Family of Poincaré Series

Explore a specialized mathematical family of Poincaré series in this advanced workshop lecture on automorphic forms and Eisenstein series applications.

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

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

Institut des Hautes Etudes Scientifiques (IHES)

Eigenvarieties and Completed Cohomology in p-adic Automorphic Forms

Explore connections between eigenvarieties and p-adic cohomology representation theory, focusing on p-adic families of finite slope automorphic eigenforms.

• YouTube
• 1 hour 9 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