Dear all,
The next series of talks in GANT seminar is given by Athanasios Sourmelidis (TU Graz) with first talk on Monday 20 May 2024, 2-3pm (Time in Greece, GMT+2).
Title: On the interface of universal zeta-functions and frequently hypercyclic vectors of translation operators
Abstract:
If is a simply connected domain and is the Fréchet space of holomorphic functions on , then it is well-known from linear dynamics that there is a dense set of such that for any element from this set, the set is dense in . However, no information is provided on how these elements look like. Despite that, in the special case when isthe vertical strip of complex numbers with real part between and , Sergei Voronin proved using analytic number theoretical methods that the Riemann zeta-function is universal in the sense that the set is dense in . This phenomenon has now been observed for a large class of “zeta-functions”. In these talks I will discuss about the aforementioned results and draw connections between the theory of translation operators and the theory of universal zeta-functions in the form of applications and research questions.
Zoom link: https://authgr.zoom.us/j/2586769419?pwd=dElhRGxrRlh0V003emc3ejRjSVZrUT09
Meeting ID: 258 676 9419
Passcode: 908335
Meeting ID: 258 676 9419
Passcode: 908335
The organizers,
Dimitrios Chatzakos
Maria Chlouveraki
Ioannis Dokas
Angelos Koutsianas
Chrysostomos Psaroudakis