Representation theory and cohomology of Khovanov-Lauda-Rouquier algebras
  This expository paper is based on the lectures given at the program `Modular Representation Theory of Finite and $p$-adic Groups' at the National University of Singapore. We are concerned with recent results on representation theory and cohomology of KLR algebras, with emphasis on standard module theory. 
Alexander S. Kleshchev
math.RT