### Categorification in Glasgow

#### Posted by John Baez

This workshop looks interesting:

- Categorification and Geometrisation from Representation Theory, April 13–18, 2009, Department of Mathematics, University of Glasgow, organized by Ken Brown, Iain Gordon, Catharina Stroppel, Nicolai Reshetikhin and Raphael Rouquier.

Here’s the abstract:

For a long time the idea of categorification has been in the background of many ideas in algebraic Lie theory and its connections to geometry. Several hard questions in Lie theory have been solved by translation (often via geometry) into combinatorics. For example, irreducible modules are labelled by combinatorial data and multiplicity formulas can be computed via combinatorially defined polynomials. On the other hand, topological questions are sometimes transferred into combinatorics in order to produce a clean answer: combinatorially defined knot invariants via polynomials; changing of coordinate systems via mutation rules; etc. It is becoming increasingly clear that the connecting principle of many such results in both Lie theory and topology is the idea of categorification. The notion of “categorification” goes back to Crane and Frenkel, motivated by mathematical physics, and in particular by the hope to construct higher dimensional topological quantum field theories.

The conference wants to clarify the notion of categorification and its appearance in three different areas of mathematics: algebraic geometry, symplectic geometry and representation theory. The first goal of this workshop is to bring together the international figures working on categorification with connections to representation theory, provide the possibility for people from different fields to meet. Our conference should provide the basis for interactions between the areas of representation theory, symplectic geometry and topology. There are many different strands to the field, and it is vital that as much discussion as possible takes place between researchers.

The conference is intended to be quite specialised around the subject categorification, an introductory workshop will provide the necessary background and basis for communication.

The workshop consists of two parts:

- Introductory Workshop — commencing with lunch and registration at 12.30 Monday 13 April, plus full day Tuesday 14 April 2009. (Funded by the Isaac Newton Institute for Mathematical Sciences)
- Workshop on Categorification and Geometrisation from Representation Theory — Wednesday 15 April to Saturday 18 April 2009; closing at 13.30 on Saturday 18 April. (Funded by ICMS)

After much hemming and hawing, I’ve decided I can’t resist going to this workshop! See you there!

## Re: Categorification in Glasgow

Can anyone tell me what

is and how it can be understood via categorification?