APS
Speaker: Hamidul Ahmed, IIT Bombay
Host: Bata Krishna Das
Title: Isomorphism Problems for Multiplier Algebras of CNP Dirichlet Series Kernels
Time, day and date: 10:00:00 AM – 11:00:00 AM, Tuesday, September 22
Venue: Ramanujan Hall
Abstract: In this talk, we study isometric and algebraic isomorphisms between multiplier algebras of reproducing kernel Hilbert spaces associated with complete Nevanlinna–Pick (CNP) Dirichlet series kernels. We consider a broader class of CNP Dirichlet series kernels, namely those whose frequency data contain generating subtuples. For this class, we establish a connection between the multiplier algebra, the geometric structure of the associated multiplier variety, and the arithmetic structure of the frequency data. We then obtain a complete classification of both isometric and algebraic isomorphisms between the corresponding multiplier algebras.