The Delannoy category and its diagrammatics

Abstract: N.Harman and A.Snowden discovered a semisimple monoidal pivotal category, called the Delannoy category, where composition of morphisms is given by computing the compact Euler characteristic of subspaces of the Euclidean space described by inequalities on the coordinates. In the talk we will explain a diagrammatic description of their category, following a joint work with N.Snyder. The number of simple objects in the Delannoy category grows exponentially, but a suitable monoidal subcategory has the Grothendieck ring isomorphic to the ring of integer-valued one-variable polynomials. This subcategory can be viewed as a categorification of the latter ring.

combinatoricsquantum algebrarings and algebrasrepresentation theory

Audience: researchers in the topic

OIST representation theory seminar

Series comments: Timings of this seminar may vary from week to week.