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.
Computing Euler Factors of Curves
Explore computational methods for determining Euler factors of curves in arithmetic geometry, focusing on advanced mathematical techniques and applications.
Frobenius Distributions - Lecture 1
Explore Frobenius distributions in arithmetic statistics through an advanced mathematical lecture by Kiran Kedlaya at CIRM's Spring School.
Crystalline Measures and Zeta Functions
Explorez les liens entre mesures cristallines et fonctions zêta, en examinant leurs propriétés et relations avec la fonction z êta de Riemann.
Analytic Methods in Arithmetic
Explore advanced analytic techniques in arithmetic, focusing on their applications and theoretical foundations in number theory.
Mathematical Grand Unification
Explore the concept of mathematical grand unification through a thought-provoking lecture by Bartosz Naskręcki, delving into conjectures and potential connections across mathematical fields.
What is an L-function? - An Introduction to Zeta and L-functions in Number Theory
Explore the evolution of L-functions from Euler to Langlands, understanding their crucial role in prime number distribution and mathematical research.
The Langlands Project - Connecting Automorphic Forms and Number Theory
Explore the Langlands project's deep connection between automorphic forms and arithmetic, tracing its roots and current challenges in mathematics.
Symplectomorphism Invariants of Open Domains
Explore symplectomorphism invariants of open domains, focusing on zeta functions, Reeb dynamics, and equivariant symplectic homology to distinguish toric domains.
Spectral Gaps of Random Covers of Hyperbolic Surfaces
Explore spectral gaps in random hyperbolic surfaces, including Laplacian resonances and a probabilistic version of Selberg's 3/16 theorem, using transfer operators and zeta functions.