## International Workshop

Invariant Distances and Metrics in Complex Analysis

*in honour of our teacher and friend Prof. Dr. Peter Pflug on the occasion of his 80*^{th} birthday

^{th}birthday

#### July 11 – 15, 2023,

Sofia, Bulgaria

#### in the frame of the International Conference “Mathematics Days in Sofia”

**T**

**he workshop** will bring together researchers around a central theme of the geometric properties of various distances and metric of domains in **C**^{n} (squeezing function, Gromov hyperbolicity, visibility of geodesics) as well as related subjects.

#### Organizing Committee

### Participants

### Program and Abstracts

Hall 503, Institute of Mathematics and Informatics

12th July |
(Wednesday) |

Chair: Gautam Bharali | |

14:00 | Filippo Bracci: Visibility and geodesic loops in Kobayashi complete hyperbolic and Gromov hyperbolic domains |

14:45 | Matteo Fiacchi: The Julia-Wolff-Carathéodory theorem in convex domains of finite type |

15:30 | Coffee Break |

Chair: Filippo Bracci | |

16:00 | Gautam Bharali: The squeezing function: exact computations and a new application |

16:45 | Armen Edigarian: Isometries on the symmetrized bidisc |

13th July |
(Thursday) |

Chair: Armen Edigarian | |

14:00 | Włodzimierz Zwonek: 2-proper holomorphic images of the Cartan domains |

14:45 | Łukasz Kosinski: Extension property |

15:30 | Coffee Break |

Chair: Wlodzimierz Zwonek | |

16:00 | Sławomir Dinew: Complex nonlinear equations, weak solutions and admissible domains |

16:45 | Zywomir Dinew: Aspects of B-regularity |

14th July |
(Friday) |

Chair: Pascal J. Thomas | |

14:00 | Herve Gaussier: Invariant metrics – old and more recent results |

14:45 | Ahmed Yekta Ökten: Estimates of the Kobayashi distance of strongly pseudoconvex domains |

15:30 | Coffee Break |

Chair: Herve Gaussier | |

16:00 | Andrew Zimmer: Bounded geometry in several complex variables |

16:45 | Open problems |

### Venue and General Information

The workshop will be held at Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences (Sofia, Acad. Georgi Bonchev Str., Block 8), Hall 503.

Arrival day: 11th of July, Departure day: 15th of July.