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Dec 14, 2023

Higher moments of elliptic curves

Algebraic Geometry and Number Theory Seminar

Date: December 14, 2023 | 1:00 pm – 3:00 pm
Speaker: Bartosz Naskręcki, Adam Mickiewicz University
Location: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Language: English

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.

More Information:

Date:
December 14, 2023
1:00 pm – 3:00 pm

Speaker:
Bartosz Naskręcki, Adam Mickiewicz University

Location:
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA

Language:
English

Contact:

Birgit Oosthuizen-Noczil

Email:
birgit.oosthuizen-noczil@ist.ac.at

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