Homological algebra of quiver representations

Faculty Member

James Pascaleff

A quiver is a directed graph, and by associating a matrix to each edge, one obtains a structure that one can do linear algebra with. This structure is a representation of the quiver, and this project will investigate computational tools for manipulating representations of quivers. The motivation for this project is develop tools to calculate functors on (derived) categories of quiver representations, with an eye toward examples of quivers that naturally arise in geometry.
 

Team Meetings

weekly

Project Difficulty

Advanced

Undergrad Prerequisites

Linear Algebra.