Natalia Garcia Fritz (Pontificia Universidad Católica de Chile)


Title: Progress of Vojta's conjecture over function fields with a description of the exceptional set

Abstract: In this talk we will present some unconditional progress on Vojta's conjecture on surfaces with truncated counting functions in the function field setting. In the cases that we consider, these results provide an explicit description of the exceptional set.
The approach involves a local study of omega-integral curves and global estimates for intersection numbers. This builds on our earlier work regarding the explicit computation of the exceptional set in the context of the Bombieri-Lang conjecture, extending ideas by Vojta and Bogomolov.


The meeting will be open from 14.15 (local time) for a virtual coffee with the speaker. 

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