# Sonja Ruzic

Date

Thursday September 21, 20234:00 pm - 5:00 pm

Location

Jeffery Hall, Room 102Event Category

## 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.