Seminars and Colloquia
Mathematics
Rational dilation and its connection with geometry of underlying complex domain
Fri, Sep 09, 2016,
04:30 PM to 05:30 PM
at Madhava Hall
Dr. Sourav Pal
IIT Bombay
In this lecture, we shall define spectral set and rational dilation for a tuple of commuting operators defined on a Hilbert space. The aim of rational dilation is to model a given tuple of commuting operators as the compression of a tuple of commuting normal operators. The underlying spectral set, which is a subset of $\\\\mathbb C^n$ in case if the tuple has $n$ number of operators, plays pivotal role in determining such dilation. In particular we shall talk about aspects of rational dilation on the symmetrized polydisc, which is a polynomially convex domain and describe its connection with geometry.
