Geometry Seminar

 

University of Tor Vergata, Department of Mathematics

19^th  of March 2024, 14:30-16:00, room “Dal Passo”

 

 

 

 

 

 

 

The rhizomic topology and tropical abelian varieties

 

 

 

Leo Herr
University of Utah

 

 

The log etale topology is a natural analogue of the etale topology for log
schemes. Unfortunately, very few things satisfy log etale descent -- not
even vector bundles or the structure sheaf. We introduce a new rhizomic
topology that sits in between the usual and log etale topologies and show
most things do satisfy rhizomic descent! As a case study, we look at
tropical abelian varieties and give some exotic examples.

 

 

 

 

 

 

 

 

 

 

 

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