Higher connectivity of the Bergman fan

Series
Student Algebraic Geometry Seminar
Time
Monday, November 18, 2019 - 1:30pm for 1 hour (actually 50 minutes)
Location
Skiles 254
Speaker
Kisun Lee – Georgia Tech – kisunlee@gatech.eduhttps://people.math.gatech.edu/~klee669/index.html
Organizer
Cvetelina Hill

The Bergman fan is a tropical linear space with trivial valuations describing a matroid combinatorially as it corresponds to a matroid. In this talk, based on a plenty of examples, we study the definition of the Bergman fan and their subdivisions. The talk will be closed with the recent result of the Maclagan-Yu's paper (https://arxiv.org/abs/1908.05988) that the fine subdivision of the Bergman fan of any matroid is r-1 connected where r is the rank of the matroid.