Coorganized with Centre national de la recherche scientifique (CNRS) and Polska Akademia Nauk (PAN)

Research group: Invariant Metrics in Complex Analysis

3–7 June, 2025, Będlewo

The conference is held in the Banach Center, a member of the International Mathematical Sciences Institutes

This workshop will bring together researchers focused on the geometric properties of various distances and metrics in domains within Cn (such as squeezing functions, Gromov hyperbolicity, and geodesic visibility), along with related topics. The objective is to unite top experts in the field to discuss recent progress, share major open problems and questions (such as the characterization of hyperbolic convex domains, a converse to Lempert's theorem, and the extension property). For younger participants, this is an opportunity to deepen their knowledge and engage further in the field.

We have planned 50-minute talks for research presentations and mini-courses (among others on metric theory and notions of visibility). Additionally, there will be time set aside for impromptu seminars and discussions.

This is the continuation of past conferences on the subject. After the pandemic three of them were already organized: one in Cortona (2021), then in Sofia (2023), and the last one in Rome (2024).

Organizing Committee

  • Łukasz Kosiński (Jagiellonian University, Kraków)
  • Pascal Thomas (Paul Sabatier University, Toulouse)

Scientific Committee

  • Filippo Bracci (Tor Vergata, Roma)
  • Nikolai Nikolov (Bulgarian Academy of Science, Sofia)
  • Peter Pflug (Oldenburg University)
  • Włodzimierz Zwonek (Jagiellonian University, Kraków)

Secretary

  • Paweł Zapałowski (Jagiellonian University, Kraków)

Programme

Tuesday, June 3rd
welcome
Wednesday, June 4th
9:00
 Filippo Bracci On the failure of the Denjoy–Wolff theorem in bounded convex domains
10:00 Annika Moucha Maximal conformal metrics and bounded holomorphic functions
11:00 coffee break
11:30 Anand Chavan Holomorphicity of Kobayashi isometry
13:00 lunch
14:00 Armen Edigarian Holomorphicity of isometries in IV classical domains (Lie balls)
15:00 Annapurna Banik Local continuous extension of proper holomorphic maps: low-regularity and infinite-type boundaries
16:00 coffee break
16:30 Amar Deep Sarkar Extension of isometries of the Kobayashi metric and localization
18:30 dinner
Thursday, June 5th
9:00
 Matteo Fiacchi Gromov hyperbolicity and precise estimates for certain distances in Rd
10:00 Nikolai Nikolov Weak triangle inequality for the Lempert function
11:00 coffee break
11:30 Rumpa Masanta Visibility domains in complex manifolds
13:00 lunch
14:00 free afternoon
18:30 barbecue
Friday, June 6th
9:00
 Luke Edholm New projections and duality in Bergman spaces
10:00 Michael Heins Function theory off the complexified unit circle
11:00 coffee break
11:30 Aakanksha Jain Weighted Szegö kernels
13:00 lunch
14:00 John E. McCarthy Carathéodory sets in the polydisk
15:00 Leandro Arosio Julia–Wolff–Carathéodory theorem and pluricomplex Poisson kernel in convex domains of finite type
16:00 coffee break
18:30 dinner
Saturday, June 7th
departure

Participants

  1. Leandro Arosio (Tor Vergata, Rome)
  2. Annapurna Banik (Tata Institute of Fundamental Research–Centre for Applicable Mathematics, Bangalore)
  3. Filippo Bracci (Tor Vergata, Rome)
  4. Anand Chavan (Jagiellonian University, Kraków)
  5. Luke Edholm (University of Vienna)
  6. Armen Edigarian (Jagiellonian University, Kraków)
  7. Matteo Fiacchi (Tor Vergata, Rome)
  8. Michael Heins (Würzburg University)
  9. Aakanksha Jain (Jagiellonian University, Kraków)
  10. Łukasz Kosiński (Jagiellonian University, Kraków)
  11. Rumpa Masanta (Indian Institute of Science, Bangalore)
  12. John McCarthy (Washington University, St. Louis)
  13. Annika Moucha (Würzburg University)
  14. Nikolai Nikolov (Bulgarian Academy of Science, Sofia)
  15. Peter Pflug (Oldenburg University)
  16. Amar Deep Sarkar (Indian Institute of Technology, Bhubaneswar)
  17. Pascal Thomas (Paul Sabatier University, Toulouse)
  18. Paweł Zapałowski (Jagiellonian University, Kraków)
  19. Włodzimierz Zwonek (Jagiellonian University, Kraków)