Home /  Workshop /  Schedules /  Removability of Planar Sets

Removability of Planar Sets

[HYBRID WORKSHOP] Introductory Workshop: The Analysis and Geometry of Random Spaces January 24, 2022 - January 28, 2022

January 27, 2022 (10:20 AM PST - 11:10 AM PST)
Speaker(s): Malik Younsi (University of Hawaii at Manoa)
Location: SLMath: Online/Virtual
  • Conformal maps

  • quasiconformal mappings

  • removability

  • conformal welding

  • Koebe's conjecture

Primary Mathematics Subject Classification
Secondary Mathematics Subject Classification No Secondary AMS MSC

Removability Of Planar Sets


Ever since the seminal work of Ahlfors and Beurling in the 1950's, the study of removable planar sets with respect to various classes of holomorphic functions has proven over the years to be of fundamental importance for a wide variety of problems in complex analysis and related areas. Questions revolving around necessary and sufficient geometric conditions for removability have held a prominent role in the development of valuable techniques and applications. In recent years, attention has been drawn to the more modern notion of (quasi)conformal removability, in view of applications to an ever-growing variety of central problems in complex analysis, probability and dynamics. In this talk, I will discuss various results related to conformal removability, focusing on applications to conformal welding and to Koebe's uniformization conjecture.

Supplements No Notes/Supplements Uploaded
Video/Audio Files

Removability Of Planar Sets

Troubles with video?

Please report video problems to itsupport@slmath.org.

See more of our Streaming videos on our main VMath Videos page.