Jaydeb Sarkar, Texas A&M University
Quotient Hilbert modules similar to the canonical Hilbert modules

In this talk, we will consider the theory of Hilbert modules over polynomial algebras. In the first part of the 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 Fock space module and Drury-Arveson module. The new results are from joint work with R. G. Douglas and C. Foias.