APS
Speaker: Hamidul Ahmed, IIT Bombay
Host: Bata Krishna Das
Title: Multiplier varieties and multiplier algebras of CNP Dirichlet
Time, day and date: 5:00:00 PM – 6:00:00 PM, Thursday, September 18
Venue: Ramanujan Hall
Abstract: In this talk, I will explore complete Nevanlinna–Pick (CNP) Dirichlet series kernels and the isomorphism problem for their multiplier algebras. To begin with, I will briefly recall key results from my earlier APS presentation, where we identified the multiplier variety as the common zero set of certain polynomials, before presenting new developments. We shall 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.  In particular, we shall address an open question posed by McCarthy and Shalit, resolving it in the negative.