Developing an analytic theory of monoidal categories. The project's aim is to introduce fundamentally new methods to the field of monoidal categories by using an innovative analytic approach. Monoidal

Description

Developing an analytic theory of monoidal categories. The project's aim is to introduce fundamentally new methods to the field of monoidal categories by using an innovative analytic approach. Monoidal categories are ubiquitous in mathematics and cognate fields such as computer science. However, current techniques draw almost exclusively from algebraic and combinatorial ideas which are closer to the origin of the theory of monoidal categories. The project will overcome current limitations by introducing interdisciplinary methods and applying them to pressing open problems where the usual approaches fail. The outcome will be new results in representation theory and a new theory to study monoidal categories. This will have benefits within mathematics and also in physics/chemistry in the long run.. Scheme: Discovery Projects. Field: 4904 - Pure Mathematics. Lead: Dr Daniel Tubbenhauer