BGSMath course · CRM Chair of Excellence
The Denjoy–Wolff Theorem in simply connected domains
Anna Miriam Benini, University of Parma
13, 23 and 27 November 2026, 12:00–14:00
Room IC, Facultat de Matemàtiques i Informàtica, Universitat de Barcelona (UB)
Hybrid format: in person and online
The Denjoy-Wolff Theorem in simply connected domains by Anna Miriam Benini (Chair d'Excellence CRM 2026)
to November 27, 2026
Room IC, Facultat de Matemàtiques i Informàtica, Universitat de Barcelona (UB)
Hybrid format: in person and online
Abstract
We review some classical results on prime end theory and on self-maps of the unit disk, including the Denjoy–Wolff Theorem itself. Such a theorem does not hold for arbitrary simply connected domains: think of the complement in the sphere of the topologist’s sine curve, with an appropriately chosen map. We give a geometric characterization of domains for which the Denjoy–Wolff Theorem holds, in terms of the behaviour of the horospheres near the boundary. This is based on joint work with F. Bracci.
Lecturer
Anna Miriam Benini
University of Parma
Anna Miriam Benini is an associate professor at the University of Parma. She works in complex dynamics, in one and two dimensions: what happens to points and regions when a holomorphic map is applied again and again. Her recent papers deal with non-autonomous dynamics, wandering domains and Denjoy–Wolff sets. This BGSMath course is part of her CRM Chair of Excellence.
Schedule
Friday 13 November
Monday 23 November
Friday 27 November
List of participants
| Name | Institution |
|---|---|
| Anna Jové Campabadal | Imperial College London |
| Rut Martínez Madrid | Universitat de Barcelona |
| Núria Fagella Rabionet | Universitat de Barcelona |
| Jordi Canela | Universitat Jaume I de Castelló |
| Gustavo Rodrigues Ferreira | Centre de Recerca Matemàtica |
| Federico Poncio | Centre de Recerca Matemàtica |
| Kostiantyn Drach | Universitat de Barcelona |
| Leticia Pardo Simón | Universitat de Barcelona |
| Oleg Ivrii | Tel Aviv University |
| Beno Ucakar | University of Ljubljana |
| Filip Morus | University of Manchester |
| Sukanta Das | Indian Institute of Technology Bhubaneswar |
| Angel Lorenzo Martínez | Universitat Autònoma de Barcelona |
| Isabella Lewis | Open University (UK) |
| Argyris Christodoulou | Aristotle University of Thessaloniki |
| Marco Vergamini | Scuola Normale Superiore di Pisa |
| Tom Potthink | University of Bordeaux |
| François Bacher | University of Bordeaux |
| Ayesha Bennett | University of Cambridge |
| Adrian Alonso Mayor Chumpitaz | Universitat Autònoma de Barcelona |
| Thomas Mascaro | Universitat de Barcelona |
| Francisco José Cruz Zamorano | Universidad de la Laguna |
| Przemyslaw Sprus | Jagiellonian University |
| Garima Tomar | University of Delhi |
Practical information
Venue
Facultat de Matemàtiques i Informàtica, Universitat de Barcelona (UB)
Gran Via de les Corts Catalanes, 585
08007 Barcelona
Room IC, ground floor
The course is hybrid: you can also follow the lectures online. The link will be sent only to registered participants, closer to the date.
Facultat de Matemàtiques i Informàtica, Universitat de Barcelona (UB)
Contact
For enquiries about this event, please contact crmactivitats@crm.cat.
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We are committed to organising sustainable events that minimise environmental impact and create a positive legacy for the host community. We support organisers in designing events aligned with the UN 2030 Sustainable Development Goals, reducing negative environmental impacts and promoting responsible practices. All materials provided during our activities are responsibly sourced, including recycled pens and plastic-free badges. We work with responsible suppliers, and our catering partners use fully compostable materials while offering vegetarian and vegan options, with at least one event day being fully vegetarian.After the activity
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