Mathematicians Breuil (National Center of Scientific Research, Paris) and Paskunas (U. of Bielefeld, Germany) construct new families of smooth admissible Fp-representations of GL2(F), where F is a finite extension of Qp. Among their topics are Hecke algebra, extensions of principal series, generic diamond weights, the extension lemma, and generic diamond diagrams and representations of GL2. There is no index. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)