Beno Učakar: Quasiconformal surgery and Herman rings
V torek, 22. novembra ob 12. uri in 30 minut, bo v okviru seminarja za kompleksno analizo predavanje
Beno Učakar: Quasiconformal surgery and Herman rings.
Abstract: The goal of my talk is to construct a rational function with dynamics on a 2-connected region biholomorphically equivalent to an irrational rotation. Such a Fatou component is called a Herman ring and is named by Michael Herman who first discovered them in 1984. I will present a construction, based on gluing techniques and quasiconformal maps, in which a map possessing a Herman ring is obtained from a polynomial possessing a Siegel disc (simply connected region on which the polynomial acts as an irrational rotation). Such a construction, called quasiconformal surgery, was introduced by Mitsuhiro Shishikura.
Predavanje bo potekalo hibridno, v predavalnici 3.06 na Jadranski 21 in preko aplikacije ZOOM:
Meeting ID: 940 4904 5946 Passcode: 723320
Franc Forstneric in Barbara Drinovec Drnovsek