AbstractIn 1955, Greenwood and Gleason proved that the two-color diagonal Ramsey number R(4,4) equals 18. Key to their proof was constructing a self-complementary graph of order 17 which does not contain a complete subgraph of order four. This graph is one in the family of graphs now known as Paley graphs. In the 1980s, Evans, Pulham and Sheehan provided a simple closed formula for the number o...
AbstractKLR algebras are a family of algebras introduced approximately fifteen years ago as part of the programme of categorifying quantum groups. We will discuss various representation-theoretic properties of these algebras. Along the way, we see an interesting mix of geometry, combinatorics and homological algebra.SpeakerPeter McNamara is a Senior Lecturer at the University of Melbourne. His ...