# Alan Sola: The Dirichlet space of the bidisk: a survey

**Time: **
Wed 2019-05-15 15.30

**Location: **
Room 32, building 5, Kräftriket, Department of Mathematics, Stockholm University ￼

**Participating: **
Alan Sola (University of Stockholm)

The Dirichlet space is one of the three canonical Hilbert spaces of analytic functions frequently studied by function theorists and operator theorists. After discussing several equivalent definitions of the Dirichlet space of the bidisk, and giving an overview of some of its basic properties, I will survey recent results on its cyclic vectors and invariant subspaces.