Introduction to Kajiwara-Payne Tropicalization I

Series
Student Algebraic Geometry Seminar
Time
Friday, October 2, 2020 - 9:00am for 1 hour (actually 50 minutes)
Location
Microsoft Teams: https://teams.microsoft.com/l/meetup-join/19%3a3a9d7f9d1fca4f5b991b4029b09c69a1%40thread.tacv2/1601305339104?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%223eebc7e2-37e7-4146-9038-a57e56c92d31%22%7d
Speaker
Trevor Gunn – Georgia Tech
Organizer
Trevor Gunn

The goal of this talk is to present a summary of Sam Payne's 2009 paper "Analytification is the limit of all tropicalizations" (Math. Res. Lett. 16, no. 3 543–556). We will introduce Berkovich analytic spaces, tropicalization of projective varieties, and tropicalization of closed subvarieties of toric varieties, as well as the connections between these concepts. We will try to present many examples.

Note: Part I will focus on tropicalization of affine varieties and Berkovich analytic spaces, Part II will focus on tropicalization of toric varieties and discuss Sam Payne's theorem.