Analytification is the Limit of All Tropicalizations

Series
Tropical Geometry Seminar
Time
Wednesday, September 29, 2010 - 10:05am for 1 hour (actually 50 minutes)
Location
Skiles 114
Speaker
Ye Luo – Georgia Tech
Organizer
Josephine Yu
We introduce extended tropicalizations for closed subvarieties of toric varieties and show that the analytification of a quasprojective variety over a nonarchimedean field is naturally homeomorphic to the inverse limit of the tropicalizations of its quasiprojective embeddings. This talk is based on a paper of Sam Pyane with the same title.