Automorphic Forms Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Period Relations for Arithmetic Automorphic Periods on Unitary Groups

Explore arithmetic automorphic periods on unitary groups, focusing on period relations within L-packets and their connection to special L-function values. Conditional proof and conjectures discussed.

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

Fields Institute

Ramification of Supercuspidal Parameters

Explore supercuspidal parameters in representation theory, focusing on local Langlands conjecture, Fargues-Scholze theory, and applications to automorphic forms and wild ramification.

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

International Mathematical Union

David Loeffler, Sarah Zerbes - Euler Systems and the Bloch-Kato Conjecture for Automorphic

Explore Euler systems and the Bloch-Kato conjecture in relation to automorphic forms, delving into advanced mathematical concepts and their applications.

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

Hausdorff Center for Mathematics

Large Sieve Inequalities for Families of Automorphic Forms

Explore advanced large sieve inequalities for automorphic forms, focusing on GL_3 spectral cases and recent progress in higher rank families. Gain insights into measuring family understanding.

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

Hausdorff Center for Mathematics

The Orbit Method, Microlocal Analysis and Applications to L-Functions

Explore quantitative orbit method in microlocal analysis, its applications to representation theory, and implications for L-functions, including moment estimates and subconvex bounds.

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 8

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

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 7

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

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 6

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

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

Fields Institute

Automorphic Forms and Representation Theory - Introduction to the Langlands Program - Lecture 5

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

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

Hausdorff Center for Mathematics

Beilinson's Conjecture for the Dwork Family

Explores Beilinson's conjecture for the Dwork family, focusing on constructing classes in higher Chow groups and computing their regulators in relation to motivic L-functions and automorphic forms.

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

Galileo Galilei Institute

A Summary of Methods for Solving Differential Equations Involving Automorphic Forms

Explore advanced techniques for solving differential equations with automorphic forms, enhancing mathematical problem-solving skills in complex analysis and number theory.

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