Modular Forms Courses and Certifications

IMSA

Hecke Actions on Loops and Periods of Iterated Shimura Integrals

Exploration of Hecke actions on loops and periods of iterated Shimura integrals, focusing on SL_2(Z) and modular curves, with insights into mixed modular motives and Galois action.

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

ICTP Mathematics

Modularity of Some Geometric Objects - Definitions, Reasons and State of the Art

Explore zeta functions, L-functions, and Galois representations in geometric objects, focusing on plane projective curves and their conjectured relationships with analytic functions.

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

Fields Institute

Quantum Complexity and L-functions

Explore quantum algorithms for L-functions and zeta functions, examining complexity results, cohomology's role, and applications to modular forms and Mordell-Weil theorem.

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

Galileo Galilei Institute

Modular Resurgence for Integrated Correlators at Large N

Explore modular resurgence in integrated correlators at large N, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

On Harmonic Weak Maass Forms Associated to Even Integer Weight Newforms

Explore harmonic weak Maass forms associated with even integer weight newforms, covering modular forms, integral coefficients, and key observations in mathematical theory.

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

NCCR SwissMAP

Quillen Metrics and Applications - Part 3: Gauged Maps, Vortices and Their Moduli

Explore gauged maps, vortices, and moduli spaces through historical context, applications, and analytical tools in mathematical physics.

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

NCCR SwissMAP

Cusp Forms and the Depth Filtration

Explore the intricate relationship between cusp forms and depth filtration in algebraic topology through advanced mathematical analysis and theoretical frameworks.

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

International Centre for Theoretical Sciences

Examples of Harmonic Maass Forms of Half-Integral Weight

Explore concrete examples of harmonic Maass forms with half-integral weight, examining their properties and applications in modern number theory and modular form theory.

• YouTube
• 1 hour 16 minutes
• On-Demand
• Free Video

Institute for Advanced Study

Modularity of Special Cycles I

Explore the modularity of special cycles in Shimura varieties, from classical Theta series to Kudla-Millson theory and recent advances in this fundamental area of arithmetic geometry.

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

Centre International de Rencontres Mathématiques

A λ-adic Family of Funke-Millson Cycles and a λ-adic Funke-Millson Lift

Explore advanced mathematical research on λ-adic families of Funke-Millson cycles and their connection to modular forms in this specialized mathematics lecture.

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

NCCR SwissMAP

Elliptic Curves and Meromorphic Modular Forms

1 review

Explore the intricate relationship between elliptic curves and meromorphic modular forms in this advanced mathematical presentation from a leading researcher at MPIM Bonn.

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

Galileo Galilei Institute

Modular Forms and String Theory - Lecture 3

Explore connections between modular forms and string theory, delving into advanced mathematical concepts and their applications in theoretical physics.

• YouTube
• 1 hour 39 minutes
• On-Demand
• Free Video

Galileo Galilei Institute

Modular Forms and String Theory - Lecture 2

Explore connections between modular forms and string theory, delving into advanced mathematical concepts and their applications in theoretical physics.

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

Galileo Galilei Institute

Modular Forms and String Theory - Lecture 1

Explore the intricate connection between modular forms and string theory in this advanced physics lecture, delving into mathematical foundations and theoretical applications.

• YouTube
• 1 hour 28 minutes
• On-Demand
• Free Video

Instituto de Matemática Pura e Aplicada

Brjuno Functions, Hölder Continuity and Modular Forms

Explore Brjuno functions, Hölder continuity, and modular forms in dynamical systems with Stefano Marmi. Gain insights into cutting-edge research presented at IMPA's international conference celebrating Marcelo Viana.

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