About
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.
The aim of this meeting is to bring together mathematicians working on all aspects of mass invariants. This is a lively research area and our hope is that we can all find new insights and inspiration.
Participants
A list of registered participants will be published here after the registration deadline of November 15th (See below for registration).
Programme
Registration
There is no registration fee but registration will be required to assist with organisation.
Please register by November 15th to be considered for giving a talk, using this form (https://forms.gle/fygJCtFqQpikXw8h7).
Immediately after November 15th, we will be contacting registered participants to invite them to speak and prepare a schedule. Late registrations are accepted, but will not be taken into account for the purpose of scheduling talks and we still would ask you to register before December 31st to help with catering.
Visit
The workshop will take place at Luleå University of Technology, Sweden. All talks will be held in lecture hall E632 in the E house.
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.
There are several hotel and hostel options in Luleå, many in the city centre with a direct and regular bus to the university. There are some budget alternatives below.
Hotel on the main street in the city centre opposite the central city park. They have offered a 10 % discount for the workshop week for participants booking with this link (Note: The discount only applies to their full price, but if you become a member and book non-refundable then it can actually be cheaper than using the discount link) : Discount link.
Similar to the above, on the same main street.
Also located centrally, on the other side of the main street from the previous two hotels.
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.
Budget option. Hostel in the city centre near the main hotel recommendations. Very simple accommodation, but good for those on a budget.
Budget option. Simple hotel in the city centre very close to the bus stop, a little cheaper than the recommendations above.
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.
Organisers
Mattias Dahl, KTH Royal Institute of Technology, Sweden
Klaus Kröncke, KTH Royal Institute of Technology, Sweden
Stephen McCormick, Luleå University of Technology, Sweden
For questions about the workshop, please contact stephen.mccormick@ltu.se.