Another interpretation of tropical rank.

Series
Student Algebraic Geometry Seminar
Time
Friday, February 26, 2021 - 9:00am for 1 hour (actually 50 minutes)
Location
Online
Speaker
Tianyi Zhang – Georgia Tech – kafuka@gatech.edu
Organizer
Marc Harkonen

Please Note: URL: https://teams.microsoft.com/l/meetup-join/19%3a3a9d7f9d1fca4f5b991b4029b09c69a1%40thread.tacv2/1614263337624?context=%7b%22Tid%22%3a%22482198bb-ae7b-4b25-8b7a-6d7f32faa083%22%2c%22Oid%22%3a%2206706002-23ff-4989-8721-b078835bae91%22%7d

Tropical rank is defined in terms of determinant in the literature. I will introduce a rank in terms of linear dependence and show it equals the tropical rank. This fact is nontrivial because we do not have row reduction which is a key tool to prove the equality for matrices over fields. This talk is based on the paper "the tropical rank of a tropical matrix" written by Z. Izhakian.