ICTP Mathematics Seminar - Tuesday, 10 June, at 14:00 - VENUE: Luigi Stasi Seminar Room (Pietro Corvaja)

[ICTP Math Section]

_ICTP MATHEMATICS SEMINAR_


Tuesday 10 June 2025, at 14:00


Venue: ICTP Leonardo Building - Luigi Stasi Seminar Room


Speaker: *Pietro Corvaja* (University of Udine)


Title: *Monodromy of elliptic logarithms*


*Abstract:* Given an algebraic family of elliptic curves with a 
non-torsion section, one can locally define its elliptic logarithm, 
after viewing the elliptic curves of the family as complex tori. An old 
theorem of Bertrand and André provides, among other things, the 
transcendency of these elliptic logarithms, over the field of regular 
functions on the base. An even older, and apparently unrelated, theorem 
of Shioda proves that the so called 'modular elliptic surfaces' admit no 
section of infinite order.

In a joint work with U. Zannier we provide a unification and an 
improvement of these results. The outcome is a statement on the relative 
monodromy of elliptic logarithms.

All are welcome to attend.
/
https://indico.ictp.it/event/11050//

----------------------

Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

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