Contact: stephen.mccormick[AT]ltu.seLocation: Lulea, Sweden
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 Weitzenboeck 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.
We aim to bring together mathematicians interested in different notions of mass to share ideas and build new collaborations.
The conference will be held at Lulea University of Technology in the north of Sweden, from January 11th to January 15th, 2027. Lulea is close to the arctic circle, so we hope for some beautiful winter weather and a chance to see the northern lights in the evenings.
Follow the link to register.