Skeletons in tropical and non-Archimedean geometry

Date
2014/08/13 Wed 14:30 - 16:00
Room
3号館108号室
Speaker
Andrew Macpherson
Affiliation
Imperial College London
Abstract

A non-Archimedean analytic space is an avatar for a degeneration of varieties. A skeleton, or tropicalisation, is an object that captures leading order information about degenerations. It is therefore natural to associate skeletons to non-Archimedean spaces.

In this talk I will outline a Grothendieckian approach to unifying the study of these skeletons with those appearing in tropical geometry and mirror symmetry.