About
Overview
The notion of mass in Riemannian geometry has developed into a rich theory of geometric invariants for noncompact manifolds. Stemming from general relativity via the ADM mass of asymptotically flat manifolds and its positivity and rigidity properties, the subject now encompasses a broad spectrum of geometric settings, including asymptotically hyperbolic and asymptotically locally flat manifolds. Recent years have seen significant advances in the understanding of these mass-type invariants through spinorial methods and Weitzenböck formulas, Hamiltonian and divergence identities, and analyses of asymptotic symmetries and conserved charges. Although most mass invariants are intertwined with scalar curvature, generalisations of mass invariants to nonlinear curvature invariants, such as Gauss–Bonnet–Chern and more general Lovelock-type masses, have since been developed. Progress has been made on questions of positivity and stability, including low-regularity settings, and the geometric characterisation of mass minimisers.
This workshop is intended as a small, discussion-oriented meeting for researchers working on topics related to Mass Invariants in Riemannian Geometry.
Participants
Confirmed participants
A list of confirmed participants will be posted here closer to the event and updated periodically.
Programme
Schedule
A detailed schedule will be provided closer to the event.
Visit
Practical information
Venue
The workshop will take place at Luleå University of Technology, Sweden. All talks will be held in lecture hall E632 in the E house.
Travel
Luleå Airport is connected to both the city centre and the university by bus (bus number 4 for both destinations) taking around 13 minutes to reach the city centre and 30 minutes to the university. Tickets can be bought on board with most bank/credit cards.
Accommodation
There are several hotel and hostel options in Luleå, many in the city centre with a direct and regular bus to the university. The inner city recommendations below are all essentially equivalent.
City centre:
Elite Stadshotellet Luleå
Hotel on the main street in the city centre opposite the central city park.
Quality Hotel Luleå
Similar to the above, on the same main street.
Best Western Plus Savoy Luleå
Also located centrally, on the other side of the main street from the previous two hotels.
Closer to the university:
Scandic Luleå
This hotel is between the city centre and the university, about 3km from the city centre and 2km from the university. This time of year, the temperature is regularly below minus 20 degrees Celcius so while this hotel is likely the best option for walking to the university, make sure to be well-prepared for the weather.
Other:
City Sleep
Budget option. Hostel in the city centre near the main hotel recommendations.
Forenom Aparthotel Luleå
Newly built self-contained apartment hotel just at the edge of the city centre. There is a bus to the university that leaves directly from here or a 10-15 minute walk to the main bus stop in the city centre.
Registration
Registration
There is no registration fee but registration will be required to assist with organisation. Please register in good time using this form.
Organisers
Organisers
Mattias Dahl, KTH Royal Institute of Technology, Sweden
Klaus Kröncke, KTH Royal Institute of Technology, Sweden
Stephen McCormick, Luleå University of Technology, Sweden
Contact
For questions about the workshop, please contact stephen.mccormick@ltu.se.