Pure Mathematics Seminar: Alexander Izzo

Alexander Izzo, Bowling Green State University, Ohio

Wednesday 05 June 2013, 1600-1700
Lecture Theatre 2, Fylde College

Please note change of location.

Algebras of holomorphic functions and a replacement for the peak point conjecture

We will introduce the notion of a function algebra and discuss examples and connections to polynomial and rational approximation in complex analysis. We will then discuss recent results concerning function algebras invariant under group actions. These results were inspired by a question raised by Ronald Douglas in connection with his work on a conjecture in operator theory due to William Arveson. Surprisingly the answer to Douglas' question is dimension dependent.