YoVDO

Moments of Families of Elliptic Curves

Offered By: Hausdorff Center for Mathematics via YouTube

Tags

Number Theory Courses Elliptic Curves Courses Algebraic Geometry Courses Modular Forms Courses Calabi-Yau Threefold Courses

Course Description

Overview

Save Big on Coursera Plus. 7,000+ courses at $160 off. Limited Time Only!
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 Crittografia
University 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