DateThursday September 28, 2023
4:00 pm - 5:00 pm
LocationJeffery Hall, Room 102
Thursday, September 28th, 2023
Time: 4:00 p.m. Place: Jeffery Hall, Room 102
Speaker: Calvin Fletcher
Title: Total positivity of flag minors
Abstract: Last week we saw our first piece of motivation for studying cluster algebras. In this talk we explore another motivational example, namely, total positivity of flag minors. These are an important subset of matrix minors and are related to the basic affine space by invariant theory. In much the same modus as last week we will construct a ring corresponding to these flag minors, study its generators and see how these generators form extended clusters with important combinatorial data. We will also compare and contrast the examples given to help motivate further the topic of cluster algebras.