Matthieu Astorg: Bifurcations for families of finite type (meromorphic) maps

Datum objave: 20. 5. 2022
Seminar za kompleksno analizo
Predavalnica 3.06
ID: 940 4904 5946 – Geslo: 723320

V torek, 24. maja ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predaval prof. Matthieu Astorg z Univerze v Orleansu, Francija.

Title: Bifurcations for families of finite type (meromorphic) maps.

Abstract: In this talk, we will discuss the notion of bifurcations in parameter spaces of natural families of transcendental meromorphic maps of finite type. In this setting, a new type of bifurcation arises for which a periodic cycle can disappear to infinity along a parameter curve. We shall relate these type of bifurcation parameters, with those for which an asymptotic value is a prepole (virtual cycle parameters), and use these relations to study stability of Julia sets (J-stability), concluding that J-stable parameters form an open and dense subset of the parameter space. All our theorems hold for general finite type maps in the sense of Epstein, satisfying certain conditions. Joint work with A. M. Benini and N. Fagella.

Predavanje bo potekalo HIBRIDNO, v predavalnici 3.06 na Jadranski 21 in preko aplikacije ZOOM:

Meeting ID: 940 4904 5946 Passcode: 723320

Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek