I will present joint work with Robert Boltje and Markus Linckelmann on the structure of   the Picard group  of self Morita equivalences of a block of a finite group algebra  over  a complete discrete valuation ring. In particular, I will give a description of the subgroup  of  endopermutation source  Morita  equivalences in terms of the underlying fusion system, Dade group, and source algebra.

The lectures will provide an introduction to the the theory of p-blocks of finite groups . The emphasis will be on the interplay between p-local invariants and global structure