A System of Equation Associated to a Surface

Explore a 25-minute conference talk from the Combinatorial Algebra meets Algebraic Combinatorics (CAAC) 2022 event, presented by Hugh Thomas from Université du Québec à Montréal (UQÀM) at the Fields Institute. Delve into the intricacies of a system of equations associated with surfaces, covering topics such as triangulation, representation theory, strings and bands, curves, and equation rewriting. Gain insights into the problem at hand and discover the proposed solutions, including a specific approach for bands. This presentation offers a comprehensive overview of the subject matter, bridging the gap between combinatorial algebra and algebraic combinatorics.

Introduction
Motivation
Triangulation
Representation
Strings and Bands
Curves
Rewriting the equations
The problem
The solution
The solution for bands