Recently, regularity issues have increasingly come into the focus of researchers in Mathematical General Relativity and in Lorentzian geometry as they have turned out to be crucial in solving some of the most persistent open questions in the field. Traditionally most studies have assumed, explicitly or implicitly, smoothness of the metric. However, new insights are needed when the metric is not $C^2$ and, consequently, it appears reasonable to call such geometries non-regular spacetimes.
In Riemannian signature geometers have long studied non-regular manifolds using a variety of methods, such as comparison geometry, metric geometry and others. Many of these techniques have yet to be exported to the Lorentzian setting since, of course, a number of difficulties have to be addressed. At the moment the field is very dynamic as new methods and approaches are being developed and merged together with older techniques and accounts.
This workshop aims at gathering researchers at the forefront of the field to discuss and advance recent related results in areas such as causality theory, cone and Lorentz-Finsler structures, Alexandrov geometry, length spaces, metric geometry, ${C}^0$-extendibility of spacetimes, transport theory and curvature-dimension conditions, as well as non-commutative geometry.
In the first week (March 13 - 17) there will be a conference on the topics of the workshop.
Organizers
Name | Affiliation |
---|---|
Piotr T. Chruściel | University of Vienna |
Melanie Graf | University of Hamburg |
Michael Kunzinger | University of Vienna |
Ettore Minguzzi | University of Pisa |
Roland Steinbauer | University of Vienna |
Attendees
Name | Affiliation |
---|---|
Brian Allen | Lehman College |
Charlie Beil | University of Graz |
Tobias Beran | University of Vienna |
Patrick Bernard | Université Paris-Dauphine |
Mathias Braun | University of Toronto |
Matteo Calisti | University of Vienna |
Peter Cameron | University of Edinburgh |
Fabio Cavalletti | SISSA |
Wan Cong | University of Vienna |
David Fajman | University of Vienna |
Albert Fathi | Georgia Institute of Technology |
Christopher Fewster | University of York |
Filip Ficek | University of Vienna |
Felix Finster | Universität Regensburg |
Jose Luis Flores | University of Malaga |
Leonardo García-Heveling | Radboud University |
Nicola Gigli | SISSA |
James D. E. Grant | University of Surrey |
Finnian Gray | University of Vienna |
Stacey Harris | Saint Louis University |
John Harvey | Cardiff University |
Jonatan Herrera | University of Cordoba |
Albert Huber | University of Applied Sciences Vienna |
Miguel Ángel Javaloyes Victoria | University of Murcia |
Eleni Kontou | University of Amsterdam |
Klaus Kröncke | KTH Stockholm |
Eric Ling | University of Copenhagen |
Miguel Manzano | Universidad de Salamanca |
Marc Mars | University of Salamanca |
Pierre Martinetti | Università di Genova & INFN |
Lorenzo Mazzieri | University of Trento |
Robert McCann | University of Toronto |
Benjamin Meco | Uppsala University |
Tomasz Miller | Copernicus Center for Interdisciplinary Studies, Jagiellonian University (Krakow, Poland) |
Carla Mladek | University of Vienna |
Andrea Mondino | University of Oxford |
Valter Moretti | University of Trento |
Olaf Müller | Humboldt University |
Argam Ohanyan | University of Vienna |
Shin-ichi Ohta | Osaka University |
Jiri Podolsky | University of Prague |
Moritz Reintjes | City University of Hong Kong |
Chiara Rigoni | University of Vienna |
Carl Rossdeutscher | University of Vienna |
Felix Rott | University of Vienna |
Anna Sakovich | Uppsala University |
Clemens Sämann | University of Oxford |
Miguel Sanchez | Universidad de Granada |
Jan Sbierski | University of Edinburgh |
Jose M M Senovilla | University of the Basque Country Bilbao |
Walter Simon | University of Vienna |
Didier Solis Gamboa | Universidad Autónoma de Yucatán |
Stefan Suhr | Ruhr-Universität Bochum |
Sumati Surya | Raman Research Institute |
Georgios Tsimperis | Cardiff University |
James A. Vickers | University of Southampton |
Daniele Volpe | University of Trento |
Eric Woolgar | University of Alberta |