Luke Steverango


Thursday April 4, 2024
4:00 pm - 5:00 pm


Jeffery Hall, Room 319

Curves Seminar

Thursday, April 4th, 2024

Time: 4:00 p.m.  Place: Jeffery Hall, Room 319

Speaker: Luke Steverango

Title: Defining Cluster Algebras by Generators and Relations

Abstract: A traditional way to describe a commutative algebra over a ring is as a quotient of a polynomial ring. One would hope to get an analogous way of describing cluster algebras in a similar way. Unfortunately, that runs into two issues. These issues are that the set of cluster variables is typically infinite and the exchange relations do not, in general, generate the ideal of all relations among cluster variables. We explore each of these issues, with particular emphasis on the second issue.