Sonja Ruzic


Thursday September 21, 2023
4:00 pm - 5:00 pm


Jeffery Hall, Room 102

Curves Seminar

Thursday, September 21st, 2023

Time: 4:00 p.m.  Place: Jeffery Hall, Room 102

Speaker: Sonja Ruzic

Title: Total positivity: A motivation for cluster algebras

Abstract: In this talk, we cover the concept of total positivity and total non-negativity of n x n matrices. We look at general square matrices, Grassmannians, and basic affine spaces. We do not define the cluster algebra yet. However, these examples include notions which will appear in the formal definition of a cluster algebra. This talk will aim to cover Chapter 1 of the notes and serve as motivation for the study of cluster algebras.