Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

13^rd  of February 2024, 14:30-16:00, room “Dal Passo”

 

 

 

 

 

 

 

 

Universal Neron models of curves and Jacobians via logarithms

 

Thibault Poiret
University of St. Andrews

 

 

 

 

 

Given a dense open immersion U -> S, some smooth and proper families X_U -> U do not extend to smooth proper families over S. More often (but still not always), there is a "best smooth extension", the Neron model.

I will talk about how to construct Neron models for families of smooth curves and their Jacobians. Neron models are not compatible with base change, so there are no "moduli spaces of Neron models", but we will see that they relate to some logarithmic moduli functors, and that their base change behaviour can be understood tropically (in terms of combinatorics of dual graphs).

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

This talk is part of the activity of the MIUR Excellence Department Projects MathMod@TOV, and the PRIN 2022 Moduli Spaces and Birational Geometry