Seminar
Speaker: Dr Chaman Kumar Sahu, IIT Bombay
Host: Bata Krishna Das
Title: Multiplier varieties and multiplier algebras of CNP Dirichlet series kernels
Time, day and date: 2:30:00 PM – 3:30:00 PM, Wednesday, November 19
Venue: Ramanujan Hall
Abstract: In this talk, we provide a complete characterization of the set of all normalized complete Nevanlinna-Pick (CNP) Dirichlet series kernels by their weight and frequency data. Using this description of normalized CNP Dirichlet series kernels, we explicitly determine the corresponding multiplier varieties, which turn out to be zeros of polynomials, highlighting the arithmetic structure. We examine the isomorphism problem for a significant class of CNP Dirichlet series kernels, and show that any algebraic isomorphism in this class is automatically an isometric isomorphism - a strong rigidity phenomenon. In particular, we shall address an open question posed by McCarthy and Shalit, resolving it negatively. This talk is based on joint work with B. K. Das and H. Ahmed.
All are invited to attend the talk.