Cohomology of Moduli Spaces of Curves
Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
The Ramanujan Conjecture for Modular Forms
Dive into the Ramanujan conjecture for modular forms, exploring its history and recent developments in a gentle overview suitable for all levels of mathematical background.
The Unbounded Denominators Conjecture - Yunqing Tang
Explore the unbounded denominators conjecture in modular forms, its implications, and a new proof approach using arithmetic algebraization theorem.
Théorie des Cordes et Théorie des Nombres : Valeurs Multiples Zêta et Amplitudes Physiques
Explorez les liens fascinants entre la théorie des nombres et les amplitudes physiques, en mettant l'accent sur l'univaluation et l'invariance modulaire.
Le dernier théorème de Fermat
Plongez dans l'histoire fascinante et la résolution du célèbre théorème de Fermat, un défi mathématique qui a intrigué les esprits pendant plus de trois siècles.
Randomness in Number Theory
Explore randomness in number theory, covering topics like finite fields, graphs, quantum gates, and the Riemann Hypothesis with Princeton's Peter Sarnak.
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.
Quadratic Forms and Hermite Constant, Reduction Theory by Radhika Ganapathy
Explores techniques for computing densest lattice packings, including quadratic forms, Hermite constants, and reduction theory. Covers perfect forms, eutactic lattices, and Voronoi's algorithm for listing perfect forms.
Computer-Assisted Proofs in the Arithmetic of Quadratic Forms - IPAM at UCLA
Explore computer-assisted proofs in quadratic forms arithmetic, covering equivalence, representation, local-global principles, and modular forms. Gain insights into complex computations across mathematics.
Atsushi Ichino- Theta Lifting and Langlands Functoriality
Explore theta lifting, seesaw identities, and Langlands functoriality in number theory, focusing on modular forms and local Shimura-Waldspurger correspondence.
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.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 3
Explore the deep connections between Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more. Uncover the beauty and complexity of these mathematical gems.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 2
Explore connections between Rogers-Ramanujan identities and icosahedron, linking number theory, modular forms, combinatorics, and conformal field theory in an accessible survey for mathematicians.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 1
Explore the deep connections between the Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more in this accessible mathematical lecture.
The Tau of Ramanujan by Eknath Ghate
Explore Ramanujan's tau-function, its significance in Number Theory, and recent developments. Discover intriguing patterns and open problems in this fascinating mathematical sequence.
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.
Symmetry, Almost
Explore the beauty of mathematical symmetry and its imperfections, focusing on modular forms and their variants. Discover how altering symmetries can reveal new insights and unexpected beauty.
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.
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.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 4
Exploración profunda de las identidades Rogers-Ramanujan, su conexión con el icosaedro y sus implicaciones en teoría de números, formas modulares, combinatoria y teoría de campos conformes.
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.