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.
Coming soon.
Organizers
Name | Affiliation |
---|---|
Piotr T. Chruściel | University of Vienna |
Melanie Graf | University of Tübingen |
Michael Kunzinger | University of Vienna |
Ettore Minguzzi | University of Florence |
Roland Steinbauer | University of Vienna |
Attendees
Name | Affiliation |
---|---|
Brian Allen | Lehman College |
Charlie Beil | University of Graz |
Tobias Beran | University of Vienna |
Mathias Braun | University of Toronto |
Annegret Burtscher | Radboud University |
Matteo Calisti | University of Vienna |
Fabio Cavalletti | SISSA |
Albert Fathi | Georgia Institute of Technology |
Christopher Fewster | University of York |
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 |
Stacey Harris | Saint Louis University |
John Harvey | Cardiff University |
Albert Huber | University of Applied Sciences Vienna |
Miguel Ángel Javaloyes Victoria | University of Murcia |
Eric Ling | Rutgers University |
Miguel Manzano | Universidad de Salamanca |
Marc Mars | University of Salamanca |
Pierre Martinetti | Università di Genova |
Lorenzo Mazzieri | University of Trento |
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 | Universität Trient |
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 |
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 |
Didier Solis Gamboa | Universidad Autónoma de Yucatán |
Stefan Suhr | Ruhr-Universität Bochum |
Sumati Surya | Raman Research Institute |
Giorgos Tsimperis | Cardiff University |
James A. Vickers | University of Southampton |
Daniele Volpe | University of Trento |
Eric Woolgar | University of Alberta |