Quotient Hilbert modules of the canonical Hilbert module

Jaydeb Sarkar

Abstract

In this talk, we will consider the theory of Hilbert modules over polynomial algebra. In the first part of this talk, a review will be given of some classical and recent results in terms of Hilbert modules. In the second part of the talk, we will describe a classification of certain quotient Hilbert modules similar to the Drury-Arveson module. The new results are from joint work with R. G.Douglas and C. Foias.