**A
Survey of Free Semigroup Algebras****.**

University of Waterloo, Canada

A free semigroup algebra is a weakly closed algebra of operators on Hilbert space generated by n isometries with pairwise orthogonal ranges.

The
prototype is the algebra *L*_{n} generated by the
left regular representation of the free semigroup

on n letters.

I
will present a survey of results on these algebras.

Talk 1.
Introduction and History. The structure of *L*_{n}*. Wednesday,
July 7, at 11:15*

Talk 2. The structure of general free semigroup algebras. *Thursday, July 8, at
18:30*

Talk 3.
Wandering vectors and Kennedy's solution. *Friday, July 9, at 18:30*