Noncommutative Geometry

Faculty Member

Marius Junge

The aim of this IGL project is to understand some basic objects in noncommutative geometry.  The project is essentially a study of matrices which have a certain geometric content. Now, geometry can be defined in many ways, and we will follow a guideline by the famous mathematician Alain Connes, who introduced noncommutative geometry. That being said the task is very concrete: to characterize certain trilinear maps on finite dimensional vector spaces which come from a derivative.  A further goal is to classify all closed traces on a complex four dimensional space

 

Team Meetings

weekly

Project Difficulty

Advanced

Undergrad Prerequisites

Math 416