Moments of Families of Elliptic Curves
Offered By: Hausdorff Center for Mathematics via YouTube
Course Description
Overview
Explore new developments in higher moment sums of 1-parametric families of elliptic curves in this 50-minute lecture from the Hausdorff Center for Mathematics. Delve into connections between these sums, modular forms, and algebraic curves. Examine a result on the second moment of cubic curves, revealing its link to intermediate Jacobians in threefolds. Investigate proofs of modularity for certain rigid Calabi-Yau threefolds, utilizing higher moments, universal families of elliptic curves, and Deligne's results, while bypassing the conventional Faltings-Serre method approach.
Syllabus
Naskręcki: Moments of families of elliptic curves
Taught by
Hausdorff Center for Mathematics
Related Courses
Metodi algebrici in CrittografiaUniversity of Naples Federico II via Federica The Differential Calculus for Curves - Differential Geometry
Insights into Mathematics via YouTube Strong Approximation for the Markoff Equation via Nonabelian Level Structures - William Chen
Institute for Advanced Study via YouTube Lenstra's Elliptic Curve Factorization Method
Churchill CompSci Talks via YouTube Applied Cryptography and Trust - Public Key Encryption
Bill Buchanan OBE via YouTube