Isogenies and Elliptic Curves in Cryptography
Explore advanced cryptographic concepts focusing on isogenies and elliptic curves in this comprehensive session from Crypto 2024, chaired by Francisco Rodríguez-Henríquez.
Elliptic Curves Associated to Two-Loop Graphs and Feynman Diagrams - Rothschild Lecture
Explore elliptic curves in two-loop Feynman diagrams, examining their emergence in cubic hypersurfaces and potential connections to elliptic dilogarithms in quantum field theory amplitudes.
L-functions of Elliptic Curves Over Real Quadratic Fields as Special Values of Automorphic Green's Functions
Delve into advanced number theory concepts exploring L-functions of elliptic curves over real quadratic fields and their relationship to automorphic Green's functions through expert mathematical analysis.
Heuristics for the Arithmetic of Elliptic Curves and Abelian Varieties
Explore probabilistic models for elliptic curve arithmetic, examining theoretical evidence and predictions for higher-dimensional abelian varieties.
Higher Symmetries in Quantum Field Theory from String Theory
Explore higher symmetries in quantum field theory through string theory on singular special holonomy spaces. Uncover their origins and implications in compact spaces and F-theory duals.