Upcoming Talks

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Higher moments of elliptic curves

Algebraic Geometry and Number Theory Seminar

Date: Thursday, December 14, 2023 13:00 - 15:00
Speaker: Bartosz Naskręcki (Adam Mickiewicz University)
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series: Mathematics and CS Seminar
Host: Tim Browning

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.

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