Activities

We are happy to invite you to the Kickoff meeting of the second funding period of SPP 2026. The principal goal of this meeting is to bring together all SPP members (principal investigators, employees in SPP-projects and associated members) involved in projects funded in the second period.

Start: Friday, 19/11/2021 11:59 am
End: Saturday, 20/11/2021 01:59 pm
Related project(s):
34Asymptotic geometry of sofic groups and manifolds II35Geometric operators on singular domains36Cohomogeneity, curvature, cohomology37Boundary value problems and index theory on Riemannian and Lorentzian manifolds38Geometry of surface homeomorphism groups39Geometric invariants of discrete and locally compact groups40Construction of Riemannian manifolds with scalar curvature constraints and applications to general relativity41Geometrically defined asymptotic coordinates in general relativity42Spin obstructions to metrics of positive scalar curvature on nonspin manifolds43Singular Riemannian foliations and collapse44Actions of mapping class groups and their subgroups45Macroscopic invariants of manifolds46Ricci flows for non-smooth spaces, monotonic quantities, and rigidity47Self-adjointness of Laplace and Dirac operators on Lorentzian manifolds foliated by noncompact hypersurfaces48Profinite and RFRS groups49Analysis on spaces with fibred cusps II50Probabilistic and spectral properties of weighted Riemannian manifolds with Kato bounded Bakry-Emery-Ricci curvature51The geometry of locally symmetric manifolds via natural maps52Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II53Gauge-theoretic methods in the geometry of G2-manifolds54Cohomology of symmetric spaces as seen from infinity55New hyperkähler spaces from the the self-duality equations56Large genus limit of energy minimizing compact minimal surfaces in the 3-sphere57Existence, regularity and uniqueness results of geometric variational problems II58Profinite perspectives on l2-cohomology59Laplacians, metrics and boundaries of simplicial complexes and Dirichlet spaces60Property (T)61At infinity of symmetric spaces62A unified approach to Euclidean buildings and symmetric spaces of noncompact type63Uniqueness in mean curvature flow64Spectral geometry, index theory and geometric flows on singular spaces II65Resonances for non-compact locally symmetric spaces66Minimal surfaces in metric spaces II67Asymptotics of singularities and deformations68Minimal Lagrangian connections and related structures69Wall-crossing and hyperkähler geometry of moduli spaces70Spectral theory with non-unitary twists71Rigidity, deformations and limits of maximal representations II72Limits of invariants of translation surfaces74Rigidity, stability and deformations in nearly parallel G2-geometry75Solutions to Ricci flow whose scalar curvature is bounded in L^p II76Singularities of the Lagrangian mean curvature flow77Asymptotic geometry of the Higgs bundle moduli space II78Duality and the coarse assembly map II79Alexandrov geometry in the light of symmetry and topology

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

Start: Thursday, 17/06/2021 02:00 pm
End: Thursday, 17/06/2021 06:00 pm

The conference will highlight recent advances in differential geometry and geometric analysis with a particular emphasis on new developments in the geometry and topology of positive scalar curvature.

Start: Tuesday, 25/05/2021 09:00 am
End: Friday, 28/05/2021 06:00 pm

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

Start: Thursday, 29/04/2021 02:00 pm
End: Thursday, 29/04/2021 06:00 pm

Start: Thursday, 08/04/2021 03:00 pm
End: Friday, 02/07/2021 04:00 pm
Related project(s):
75Solutions to Ricci flow whose scalar curvature is bounded in L^p II

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

Start: Thursday, 04/03/2021 02:00 pm
End: Thursday, 04/03/2021 06:00 pm
Related project(s):
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds52Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

Start: Thursday, 21/01/2021 02:00 pm
End: Thursday, 21/01/2021 06:00 pm
Related project(s):
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds52Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II

The Women in Mathematical Physics Workshop at BIRS will have multiple research groups. One of them is on the topic of "Mathematical relativity: static Lorentzian length spaces" and fits into the framework of this SPP. It is led by Carla Cederbaum (Eberhard-Karls-Universität Tübingen, Germany) and Melanie Graf (University of Washington, US).

Applications for the workshop are open until Dec 20, 2019. For more information,

see sites.google.com/site/womathphys/.

Start: Sunday, 20/09/2020 09:00 am
End: Friday, 25/09/2020 04:00 pm
Related project(s):
05Index theory on Lorentzian manifolds

The unifying background of the meeting will be rigid differential-geometric structures, such as conformal and projective structures. This refers both to structures locally modelled on homogeneous spaces and to their curved analogues. One topic will be applications of Cartan connections to locally homogeneous structures, their moduli spaces, and compactifications. A related topic will be conformal compactifications such as Poincare-Einstein manifolds, and analogues for other ambient geometries. Another topic will be group actions preserving such structures and their rigidity.

Start: Monday, 20/07/2020 01:30 pm
End: Friday, 24/07/2020 12:00 pm
Related project(s):
01Hitchin components for orbifolds07Asymptotic geometry of moduli spaces of curves12Anosov representations and Margulis spacetimes26Projective surfaces, Segre structures and the Hitchin component for PSL(n,R)28Rigidity, deformations and limits of maximal representations32Asymptotic geometry of the Higgs bundle moduli space

Isoperimetric comparisons may be used to uncover new properties of curved spaces, and to estimate eigenvalues of operators of physical significance. Isoperimetric estimates have an ancient history, comparing the area and perimeter of regions. Only recently have the complex geometric situations seen in nature begun to be understood. These include excitation energies in quantum mechanics, and the geometry of soap bubbles. The field brings together the theory of PDE, differential geometry and non-smooth metric geometry and has continued to produce novel and exciting

mathematics since antiquity.

This program will gather together experts in such isoperimetric inequalities to progress this challenging, yet recently quite fruitful area. In particular it will facilitate communication between researchers working on different aspects of the field that may not yet be communicating with each other. For example, those researchers with expertise in PDE aspects may not be up to date on the latest results in RCD spaces and vice-versa.

Start: Monday, 13/07/2020 12:00 am
End: Friday, 24/07/2020 12:00 am
Related project(s):
22Willmore functional and Lagrangian surfaces