Modular Forms Courses and Certifications

Fields Institute

Factorization and Modular Forms

Explore quantum algorithms for factorization and modular forms with Kumar Murty, delving into advanced mathematical concepts and their applications in quantum computing.

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

Hausdorff Center for Mathematics

Modular Forms, Elliptic Polylogarithms and Feynman Integrals

Explores advanced mathematical concepts in Feynman integrals, focusing on epsilon-form solutions, modular forms, and elliptic polylogarithms, with applications in number theory and physics.

• YouTube
• 1 hour 17 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Symmetric Power Functoriality for Hilbert Modular Forms

Explore symmetric power functoriality for Hilbert modular forms, comparing with elliptic modular cases in this advanced mathematics lecture by James Newton.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

International Centre for Theoretical Sciences

Modular Forms by Mahesh Kakde

Comprehensive exploration of modular forms, covering definitions, properties, and applications. Delves into Eisenstein series, theta functions, and related mathematical concepts for advanced learners in number theory.

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

Centrum Fizyki Teoretycznej PAN

Dispersionless Integrable Equations and Modular Forms

Explore the connection between dispersionless integrable PDEs and modular forms, focusing on Hirota equations and first-order integrable Lagrangians. Gain insights into advanced mathematical concepts and their applications.

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

Centrum Fizyki Teoretycznej PAN

On ODEs Satisfied by Modular Forms

Explore ODEs satisfied by modular forms, their invariance under Lie groups, and associated algebraic curves. Extend results to Jacobi forms and examine examples from classical modular forms.

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

International Centre for Theoretical Sciences

The p-adic Constant for Mock Modular Forms Associated to CM Forms

Explore p-adic constants in mock modular forms connected to CM forms through advanced number theory and automorphic representations.

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

NCCR SwissMAP

On Connections Between Modular Forms and Coding Theory

Explore the fascinating connections between modular forms and coding theory in this mathematical workshop presentation by Jolanta Marzec-Ballestros.

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

NCCR SwissMAP

Minimal Trilinear Operators on Modular Forms

Explore minimal trilinear operators on modular forms in this advanced mathematical presentation from an international automorphic forms workshop.

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

BIMSA

Mean Field Equations on Torus, Pre-Modular Forms and Painlevé VI Equation

Explore the intricate connections between mean field equations on torus surfaces, pre-modular forms, and the Painleve VI equation in advanced mathematical analysis.

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

International Centre for Theoretical Sciences

Why Are Siegel Modular Forms Relevant for Black Hole Physics?

Explore the surprising connection between Siegel modular forms and black hole physics through expert insights from theoretical physicist Ashoke Sen.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

Conference GSI

SL(2, Z)-Equivariant Machine Learning with Modular Forms - Theory and Applications

Explore SL(2, Z)-equivariant machine learning, delving into modular forms theory and its practical applications in advanced mathematical modeling.

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

Institut des Hautes Etudes Scientifiques (IHES)

Modular Forms and Differential Equations: Connections and Applications

Explore connections between modular forms and differential equations, from historical origins to modern applications in mathematics and physics.

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

Erwin Schrödinger International Institute for Mathematics and Physics (ESI)

Picard-Fuchs Equations and Modular Forms - Applications and Theory

Explore the intricate relationship between Picard-Fuchs equations and modular forms, examining their mathematical applications and theoretical foundations in algebraic differential equations.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Traces of CM Values and Geodesic Cycle Integrals of Modular Functions

Explores generating series of CM value traces and geodesic cycle integrals of modular functions, covering theta lifts and applications to L-series and cycle integral rationality.

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