Geometric Methods in Complex Analysis III

Research group:
Geometric Methods in Complex Analysis III

11 - 15 April, 2012, Będlewo

The research group was a continuation of the meetings organized under the same name in 2010 and 2011. Additionally, it was a good occassion to celebrate 60th birthday of Prof. Marek Jarnicki. The reserach group focused on certain topics of geometric function theory of several complex variables:

  • holomorphically invariant functions (mainly on problems connected with the Lempert theorem as well as with properties of the symmetrized polydiscs)- this was the direct continuation of the research group meeting in 2011.
  • theory of analytic discs
  • pluripotential theory
  • groups of automorphisms

During the meeting the series of lectures were given. R. Sigurdsson's lectures were a short course of the theory of analytic discs. N. Scherbina and W. Zwonek gave expository talks on recent developments and interesting open problems in the areas of their study. Other talks were devoted to the speakers' latest results. Along with the official programme of the meeting, there were also informal discussions on the aforementioned topics held.

Organizing Committee

  • Piotr Jucha
  • Łukasz Kosiński

Scientific Committee

  • Armen Edigarian (Jagiellonian University),
  • Marek Jarnicki (Jagiellonian University),
  • Peter Pflug (University of Oldenburg),
  • Włodzimierz Zwonek (Jagiellonian University)

Programme

Thursday, 12th of April
10:00
 A. Lewandowski: An "annulus" formula for the relative extremal function
11:00 M. Trybuła: The Bergman metric for the symmetrized bidisc
12:30 M. Zajęcka: Biholomorphisms and coverings for Kobayashi-Royden and Caratheodory-Reiffen pseudometrics
Friday, 13th of April
10:00 R. Sigurdsson: Extremal functions in pluripotential theory as envelopes of analytic disc functionals
11:00 N. Shcherbina: On defining functions for strictly pseudoconvex domains - some results and open questions
12:30 W. Zwonek: Applications of the symmetrized polydisc
15:30 R. Andrist: Automorphisms and endomorphisms determining a complex manifold
17:00 M. Trybuła: The Bergman metric for the symmetrized bidisc (continuation)
Saturday, 14th of April
10:00 Ł. Kosiński: The group of automorphisms of the spectral ball
11:00 S. Zając: Hypercyclicity of composition of operators in pseudoconvex domains
12:30 R. Sigurdsson: Extremal functions in pluripotential theory as envelopes of analytic disc functionals (continuation)

Participants

  1. Ibrahim Djire (Jagiellonian University, Poland)
  2. Armen Edigarian (Jagiellonian University, Poland)
  3. Marek Jarnicki (Jagiellonian University, Poland)
  4. Piotr Jucha (Jagiellonian University, Poland)
  5. Przemysław Kliś (Jagiellonian University, Poland)
  6. Łukasz Kosiński (Jagiellonian University, Poland)
  7. Arkadiusz Lewandowski (Jagiellonian University, Poland)
  8. Maria Trybuła (Jagiellonian University, Poland)
  9. Tomasz Warszawski (Jagiellonian University, Poland)
  10. Sylwester Zając (Jagiellonian University, Poland)
  11. Małgorzata Zajęcka (Cracow University of Technology, Poland)
  12. Paweł Zapałowski (Jagiellonian University, Poland)
  13. Włodzimierz Zwonek (Jagiellonian University, Poland)
  14. Ragnar Sigurdsson (University of Iceland, Iceland)
  15. Peter Pflug (University of Oldenburg, Germany)
  16. Nikolai Shcherbina (University of Wuppertal, Germany)
  17. Rafael Andrist (University of Wuppertal, Germany)

Group photographs

Click on images to enlarge