Activities

This is the fourth instalment of the THGT conference series. As its predecessors, the conference takes place in Bielefeld in spring, and as before it welcomes researchers studying groups through their interactions with topology and homology, as well as people interested in entering the subject.

Start: Monday, 18/03/2024 09:00 am
End: Friday, 22/03/2024 04:00 pm
Related project(s):
39Geometric invariants of discrete and locally compact groups48Profinite and RFRS groups58Profinite perspectives on l2-cohomology60Property (T)61At infinity of symmetric spaces62A unified approach to Euclidean buildings and symmetric spaces of noncompact type

Arithmetic groups provide a fruitful link between various areas, such as geometry, topology, representation theory and number theory. Methods from geometry and topology hinge on the fact that arithmetic groups are lattices in Lie groups, whereas the theory of automorphic forms establishes a connection to representation theory and number theory. This interplay is especially intriguing in the setting of hyperbolic 3-manifolds. Indeed many conjectures in 3-manifold theory tend to be much more accessible for hyperbolic 3-manifolds whose fundamental groups are arithmetic, and conversely such manifolds provide the simplest set-up in which some of the most exciting new phenomena in the Langlands program can be studied

Start: Monday, 16/05/2022 11:00 am
End: Friday, 20/05/2022 01:00 pm
Related project(s):
58Profinite perspectives on l2-cohomology

Our goal is to bring together experts on finiteness properties of groups and spaces with young reasearchers in related areas. We expect that this will lead to new connections and interactions and introduce new people to the field. To achieve this, our workshop will offer an attractive mix of minicourses and research talks.

Start: Wednesday, 23/02/2022 10:00 am
End: Friday, 25/02/2022 04:00 pm
Related project(s):
39Geometric invariants of discrete and locally compact groups58Profinite perspectives on l2-cohomology60Property (T)

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 topology73Geometric Chern characters in p-adic equivariant K-theory80Nonlocal boundary problems: Index theory and semiclassical asymptotics