Beno Učakar: Quasiconformal surgery and Herman rings

Date of publication: 17. 11. 2022
Complex analysis seminar
Predavalnica 3.06
ID: 940 4904 5946 – Password: 723320

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

Vljudno vabljeni!

Vodji seminarja

Franc Forstneric in Barbara Drinovec Drnovsek