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An introduction to KLR algebras and their representation theory
Student-Run Discrete Mathematics| Speaker: | Henry Kvinge, UC Davis |
| Location: | 3106 MSB |
| Start time: | Mon, Oct 14 2013, 2:10PM |
Description
In the last decade, Khovanov and Lauda and independently Rouquier, invented a family of graded algebras called KLR algebras to categorify quantum groups. These algebras can be defined geometrically, via braid-like plane diagrams which consist of interacting strings labelled by vertices of a graph.
In this talk I will introduce the concept of categorification, and after giving a flavor of the diagrammatics of KLR algebras, will give an overview of how they can be used to categorify quantum groups.