Automorphic Forms Courses and Certifications

Fields Institute

From Representations of P-Adic Groups to Congruences of Automorphic Forms

Explore connections between p-adic group representations and automorphic form congruences, bridging abstract algebra and number theory in this advanced mathematical lecture.

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

Institute for Advanced Study

Number Theory Seminar - Advanced Topics in Arithmetic Geometry and L-Functions

Explore advanced number theory through expert lectures on L-functions, Galois representations, modular forms, and arithmetic geometry from leading mathematicians worldwide.

• YouTube
• 6 days 10 hours 57 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields

Explore the deep analogy between integers and polynomials over finite fields, connecting number theory to geometry, topology, and Langlands theory through modern techniques.

• YouTube
• 12 hours 8 minutes
• On-Demand
• Free Video

Fields Institute

Fields Number Theory Seminar

Explore advanced number theory through expert seminars covering Galois theory, elliptic curves, L-functions, Shimura varieties, and arithmetic geometry from leading researchers.

• YouTube
• 3 days 11 hours 48 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

Arithmetic Quantum Field Theory Conference

Explore cutting-edge connections between number theory, quantum field theory, and geometry through expert talks on Langlands correspondence, L-functions, and mathematical physics.

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

Fields Institute

Geometrization of the Local Langlands Correspondence

Explore the advanced mathematical concept of geometrizing local Langlands correspondence, delving into its intricacies and implications in number theory and algebraic geometry.

• YouTube
• 1 hour 6 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

Institut des Hautes Etudes Scientifiques (IHES)

Modularity of Abelian Surfaces

Explorez la preuve de la modularité d'une proportion positive de surfaces abéliennes sur les rationnels dans cette conférence mathématique avancée.

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

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 3

Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.

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

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 2

Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.

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

Institut des Hautes Etudes Scientifiques (IHES)

Number Theory over Function Fields - Lecture 1

Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.

• YouTube
• 2 hours 4 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Quantum Information, Condensed Matter, and Quantum Field Theory

Explore quantum information, condensed matter physics, and quantum field theory through expert lectures on ground state phases, eigenstates, and emergent phenomena.

• YouTube
• 7 hours 25 minutes
• On-Demand
• Free Video

Fields Institute

Theta Series - Representation Theory, Geometry, and Arithmetic

Explore advanced topics in theta series connecting representation theory, algebraic geometry, and arithmetic through lectures on modular forms, Shimura varieties, and L-functions.

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

International Centre for Theoretical Sciences

Ramanujan Lectures - Advanced Topics in Number Theory and Mathematical Physics

Explore advanced mathematical theories through expert lectures on Ramanujan conjectures, macroscopic fluctuation theory, and l-adic cohomology applications.

• YouTube
• 13 hours 16 minutes
• On-Demand
• Free Video