Videolibrary
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
Video Library
Archive
Most viewed videos

Search
RSS
New in collection






International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin
October 28, 2024 15:30–16:20, Moscow, Steklov Institute, conference hall, 9th floor
 


Extremal problems on classes of holomorphic self-maps of a disc with several fixed points

A. P. Solodov

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Video records:
MP4 640.6 Mb
Supplementary materials:
Adobe PDF 1.1 Mb

Number of views:
This page:117
Video files:43
Youtube Live:

A. P. Solodov
Photo Gallery



Abstract: Fixed points play an important part in the dynamics of a holomorphic map. Given a holomorphic self-map of a unit disc, all of its fixed points, with the exception of at most one of them, lie on the boundary of the disc. Furthermore, it turns out that the existence of an angular derivative and its value at a boundary fixed point affect significantly the behaviour of the map itself and its iterates. In addition, some classical problems in geometric function theory acquire new settings and statements in this context. In the talk, we consider these questions.

Supplementary materials: solodov.pdf (1.1 Mb)

Website: https://zoom.us/j/97783228709?pwd=cDOY9kLNgr172YW8B8xQyHc76w8IW8.1

* ID: 977 8322 8709 Password: 525842
 
  Contact us:
 Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024