Algebra - Representation Theory

Tilting modules for algebraic and quantum groups.- Connections between group representations and cohomology.- Invariant theory of algebra representations.- Representation Theory of Orders.- On some problems in Pi-theory in characteristic p.- Blocks of category O, double centralizer properties, and Enright’s completions.- The Gelfand-Kirillov dimensions of Algebras arising from Representation Theory.- The normalizer of a finite group in its integral group ring and ?ech cohomology.- Representation Theory of Semisimple Hopf Algebras.- Semigroup cohomology and applications.- In Search For Noetherian Algebras.- Cohen-Macaulay representation.- Hereditary abelian categories and almost split sequences.- The abelian defect group conjecture: some recent progress.- 2-dimensional Orders and integral Hecke orders.- Invertible ideals and non-commutative generalizations of regular rings.- Langlands’philosophy and Koszul duality.- Noncommutative projective geometry.- Braid groups as self-equivalencesof derived categories.- Modules with good filtration and invariant theory.