Back to Algebraic Geometry Seminar: Spring 2015
Algebraic Geometry Seminar
Date: Tuesday, Mar 31, 2015
Time: 3:30PM - 4:30PM
Location: LCB 215
Noah Giansiracusa
University of Georgia
Title |
Tropical schemes and the Berkovich analytification |
Abstract |
In “Equations of tropical varieties,” J.H.Giansiracusa and I introduced a scheme-theoretic framework for tropicalization and tropical geometry. In this talk I’ll discuss recent developments in this program. Specifically, we introduce a canonical embedding of any scheme in an F1-scheme (in essence, a non-finite type toric variety) such that the corresponding tropicalization is the inverse limit of all tropicalizations and its T-points form the space underlying Berkovich’s analytification. This is related to Payne’s topological inverse limit result. |
Algebraic Geometry