SEMINARIO DI GEOMETRIA ALGEBRICA

Nell'ambito del seminario congiunto di geometria algebrica
organizzato dai Dipartimenti di Matematica dell'Università e del Politecnico di Milano,

martedì 21 giugno alle 14:30

in Sala di Rappresentanza del Dipartimento di Matematica "F. Enriques",

si terrà il seguente seminario:

Bartosz Naskręcki
(University of Poznań)

Higher moments of elliptic curves

Abstract: In this talk we will discuss some new developments in higher moment sums of 1-parametric families of elliptic curves. These sums have connections to modular forms and algebraic curves. I will sketch a result about the second moment of cubic curves leading to a connection with intermediate Jacobians in threefolds. Next we will discuss proofs of modularity of certain rigid Calabi-Yau threefolds which uses directly higher moments, universal families of elliptic curves and Deligne’s results, avoiding completely the standard approach via Faltings-Serre method.