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.
The Geometry and Arithmetic of Banana Nano-Manifolds
Explore the geometry and arithmetic of banana nano-manifolds, focusing on new rigid Calabi-Yau threefolds and their Donaldson-Thomas partition functions, Gromov-Witten potentials, and modular properties.
Subconvexity of L-functions - Part 1
Explore advanced concepts in analytic number theory, focusing on subconvexity bounds for L-functions and their applications in mathematics.
Rings of Siegel-Jacobi Forms of Bounded Relative Index Are Not Finitely Generated
Explore Siegel-Jacobi forms and their non-finitely generated rings of bounded relative index in this advanced mathematical presentation by Ana Botero.
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.
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.
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.
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.
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.
Complex Multiplication - Lecture 1
Explore complex multiplication in mathematics through an in-depth lecture by Jan Vonk, covering fundamental concepts and advanced theories.
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.
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.
Eisenstein Series - An Overview
Explore Eisenstein series in a concise, self-contained overview, gaining insights into this mathematical concept and its applications.
Modularity of Donaldson-Thomas Invariants on Compact Calabi-Yau Threefolds
Explore Donaldson-Thomas invariants, their connection to BPS indices, and modular behavior in string theory. Gain insights into computational methods and applications to Gopakumar-Vafa invariants and topological string amplitudes.
Iterated Integrals of Modular Forms in String Theory
Explore iterated integrals of modular forms in string theory, their connection to scattering amplitudes, and the concept of multiple modular values in physics.
Modularity in String Theory and Moonshine - Lecture 2
Explore advanced concepts in string theory, focusing on modularity and its connections to moonshine phenomena in mathematics and theoretical physics.
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.
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.
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.
Modularity of Donaldson-Thomas Invariants on Calabi-Yau Threefolds
Explore Donaldson-Thomas invariants, their mathematical significance, and modular behavior in string theory. Gain insights into BPS indices, wall-crossing phenomena, and topological string amplitudes.
Calabi-Yaus and Curves in Feynman Integrals
Explore the intricate connection between Calabi-Yau manifolds and Feynman integrals in particle physics, unraveling complex mathematical structures in quantum field theory.