Luke Steverango
Date
Thursday April 4, 20244:00 pm - 5:00 pm
Location
Jeffery Hall, Room 319Event Category
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.