Graduate Student Seminar- The correlation between shapes

Title: The correlation between shapes

 

Abstract: In this talk, we will discuss the relationships between different geo- metric objects. Specifically, we focus on comparing “shapes” and defining a quantity called the correlation number. This quantity aims to capture both the distinctions and similarities between two given shapes of geo- metric objects. The study encompasses various geometric entities, such as hyperbolic surfaces, networks, and higher-rank cusped Hitchin representations, among others.