Activities

Activities of SPP2026

On this site you find all conferences, workshops and seminars that have been or will be (financially and organisationally) supported by the DFG priority programme „Geometry at Infinity“.

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01Hitchin components for orbifolds
02Asymptotic geometry of sofic groups and manifolds
03Geometric operators on a class of manifolds with bounded geometry
04Secondary invariants for foliations
05Index theory on Lorentzian manifolds
06Spectral Analysis of Sub-Riemannian Structures
07Asymptotic geometry of moduli spaces of curves
08Parabolics and invariants
09Diffeomorphisms and the topology of positive scalar curvature
10Duality and the coarse assembly map
11Topological and equivariant rigidity in the presence of lower curvature bounds
12Anosov representations and Margulis spacetimes
13Analysis on spaces with fibred cusps
14Boundaries of acylindrically hyperbolic groups and applications
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds
16Minimizer of the Willmore energy with prescribed rectangular conformal class
17Existence, regularity and uniqueness results of geometric variational problems
18Analytic L2-invariants of non-positively curved spaces
19Boundaries, Greens formulae and harmonic functions for graphs and Dirichlet spaces
20Compactifications and Local-to-Global Structure for Bruhat-Tits Buildings
21Stability and instability of Einstein manifolds with prescribed asymptotic geometry
22Willmore functional and Lagrangian surfaces
23Spectral geometry, index theory and geometric flows on singular spaces
24Minimal surfaces in metric spaces
25The Willmore energy of degenerating surfaces and singularities of geometric flows
26Projective surfaces, Segre structures and the Hitchin component for PSL(n,R)
27Invariants and boundaries of spaces
28Rigidity, deformations and limits of maximal representations
29Curvature flows without singularities
30Nonlinear evolution equations on singular manifolds
31Solutions to Ricci flow whose scalar curvature is bounded in Lp.
32Asymptotic geometry of the Higgs bundle moduli space
33Gerbes in renormalization and quantization of infinite-dimensional moduli spaces
34Asymptotic geometry of sofic groups and manifolds II
35Geometric operators on singular domains
36Cohomogeneity, curvature, cohomology
37Boundary value problems and index theory on Riemannian and Lorentzian manifolds
38Geometry of surface homeomorphism groups
39Geometric invariants of discrete and locally compact groups
40Construction of Riemannian manifolds with scalar curvature constraints and applications to general relativity
41Geometrically defined asymptotic coordinates in general relativity
42Spin obstructions to metrics of positive scalar curvature on nonspin manifolds
43Singular Riemannian foliations and collapse
44Actions of mapping class groups and their subgroups
45Macroscopic invariants of manifolds
46Ricci flows for non-smooth spaces, monotonic quantities, and rigidity
47Self-adjointness of Laplace and Dirac operators on Lorentzian manifolds foliated by noncompact hypersurfaces
48Profinite and RFRS groups
49Analysis on spaces with fibred cusps II
50Probabilistic and spectral properties of weighted Riemannian manifolds with Kato bounded Bakry-Emery-Ricci curvature
51The geometry of locally symmetric manifolds via natural maps
52Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II
53Gauge-theoretic methods in the geometry of G2-manifolds
54Cohomology of symmetric spaces as seen from infinity
55New hyperkähler spaces from the the self-duality equations
56Large genus limit of energy minimizing compact minimal surfaces in the 3-sphere
57Existence, regularity and uniqueness results of geometric variational problems II
58Profinite perspectives on l2-cohomology
59Laplacians, metrics and boundaries of simplicial complexes and Dirichlet spaces
60Property (T)
61At infinity of symmetric spaces
62A unified approach to Euclidean buildings and symmetric spaces of noncompact type
63Uniqueness in mean curvature flow
64Spectral geometry, index theory and geometric flows on singular spaces II
65Resonances for non-compact locally symmetric spaces
66Minimal surfaces in metric spaces II
67Asymptotics of singularities and deformations
68Minimal Lagrangian connections and related structures
69Wall-crossing and hyperkähler geometry of moduli spaces
70Spectral theory with non-unitary twists
71Rigidity, deformations and limits of maximal representations II
72Limits of invariants of translation surfaces
73Geometric Chern characters in p-adic equivariant K-theory
74Rigidity, stability and deformations in nearly parallel G2-geometry
75Solutions to Ricci flow whose scalar curvature is bounded in L^p II
76Singularities of the Lagrangian mean curvature flow
77Asymptotic geometry of the Higgs bundle moduli space II
78Duality and the coarse assembly map II
79Alexandrov geometry in the light of symmetry and topology
80Nonlocal boundary problems: Index theory and semiclassical asymptotics

09/10/2023 | Workshop

Autumn School on Large Scale Geometry

Large scale geometry (a.k.a. coarse geometry) is the paradigm of studying metric spaces from "far away'', neglecting all the local information and just focusing on features of the space at infinity. The aim of this school is to introduce terminology and techniques from large scale geometry and to show how they can be used in a variety of contexts. These include (but are not limited to) geometric group theory, index theory, operator algebras, (geometric) topology.

The school will feature four minicourses by leading experts in the field, each of them consisting of four 50-minutes lectures plus one exercise/discussion session. The minicourses will be aimed at a broad audience.

Young participants are also encouraged to present their research with a short talk in a "gong-talk" session.

Start: Monday, 09/10/2023 09:00 am
End: Friday, 13/10/2023 03:00 pm
Related project(s):
78Duality and the coarse assembly map II

04/10/2023 | Workshop

A workshop on Einstein manifolds

The Einstein condition is viewed by many as the "most interesting" notion of constant curvature, since there are not too many and not too few examples of Einstein manifolds. In the 1980s the brightest minds of the field rallied once more under the banner of the Besse group, as they had before. This time the result was an epochal work on the topic of Einstein manifolds. Still, there were many open questions left.

Time has passed, and more progress has been made. So let us not dwell on the past, but stride forward into the Crazy World of Arthur L. Besse!

Start: Wednesday, 04/10/2023 01:00 pm
End: Friday, 06/10/2023 05:00 pm
Related project(s):
74Rigidity, stability and deformations in nearly parallel G2-geometry

04/10/2023 | Conference

Women in Automorphic Forms (WIAF)

The WIAF conference highlights recent, excellent developments on automorphic forms in all aspects. These forms and functions are intimately related to the geometry at infinity of symmetric spaces. And hence they are of utmost interest in several projects within the SPP 2026. With the WIAF conference we bring together young researchers with excellent senior researchers in order to foster communications of new results and to identify fascinating new directions of further research on automorphic forms and their applications. This conference is specially, but not exclusively, addressed to female mathematicians.

Start: Wednesday, 04/10/2023 08:00 am
End: Friday, 06/10/2023 06:00 pm
Related project(s):
70Spectral theory with non-unitary twists

25/09/2023 | Conference

Section 'Geometry and Topology' at the annual meeting of the DMV

The DMV general meeting 2023 will take place at TU Ilmenau September 25-28, 2023. The section Geometry & topology will take place on September 27 and 28 (Wednesday and Thursday).

Start: Monday, 25/09/2023 09:00 am
End: Thursday, 28/09/2023 07:00 pm

11/09/2023 | Conference

Dynamics and asymptotics in algebra and number theory (DAAN)

With the DAAN conference we will bring together researchers at the crossroads of algebra, number theory and dynamical systems theory working on similar questions from different perspectives. Of particular importance will be dynamical systems approaches to entities from number theory and algebra in regard to their asymptotic aspects. Some of these entities, in particular Laplace eigenfunctions, as well as several of the techniques and tools play a fundamental role within the SPP 2026, in particular for Project 70 (Spectral theory with non-unitary twists).

Start: Monday, 11/09/2023 08:00 am
End: Friday, 15/09/2023 06:00 pm
Related project(s):
70Spectral theory with non-unitary twists

13/08/2023 | Workshop

Women in Mathematical Physics 2

Start: Sunday, 13/08/2023 06:00 pm
End: Friday, 18/08/2023 02:00 pm
Related project(s):
41Geometrically defined asymptotic coordinates in general relativity

31/07/2023 | Workshop

Spectral theory and geometry of ergodic Schrödinger operators

The main goal in the spectral theory of ergodic Schrödinger operators is to understand the interplay between the underlying geometry of the space, the dynamics of the system and the spectral properties of the operator. Our school focuses on the so-called minimal or ergodic dynamical systems - where minimality is perceived as the topological analog of ergodicity. If the underlying geometry and dynamics are minimal then the system is determined by the geometric properties at infinity.

Start: Monday, 31/07/2023 08:00 am
End: Friday, 04/08/2023 07:00 pm
Related project(s):
19Boundaries, Greens formulae and harmonic functions for graphs and Dirichlet spaces

Francesca Da Lio (Zürich)

Fabian Rupp (Wien)

Markus Wolff (Tübingen)

For further information see the webpage home.mathematik.uni-freiburg.de/ngrosse/conferences/FHSTanalysis.html

Start: Friday, 21/07/2023 01:30 pm
End: Friday, 21/07/2023 06:00 pm
Related project(s):
03Geometric operators on a class of manifolds with bounded geometry 05Index theory on Lorentzian manifolds 35Geometric operators on singular domains 41Geometrically defined asymptotic coordinates in general relativity

17/07/2023 | Workshop

26th Internetseminar - Graphs and discrete Dirichlet spaces - final workshop

Start: Monday, 17/07/2023 09:00 am
End: Friday, 21/07/2023 05:00 pm
Related project(s):
19Boundaries, Greens formulae and harmonic functions for graphs and Dirichlet spaces 59Laplacians, metrics and boundaries of simplicial complexes and Dirichlet spaces