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“.

all projects
  • all projects
  • 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

16/03/2020 | Workshop

(This event has been cancelled) Frankfurt Airport Seminar on Groups, Geometry and Dynamics March 2020

www.uni-giessen.de/mathematik-airportseminar

The thematic focus of the conference series is on geometric, analytic and ergodic theoretical aspects of groups and their actions, but the conferences aim to explore also related areas of mathematics from representation theory and harmonic analysis over differential and metric geometry to topology, algebraic geometry and model theory, as well as to set a spotlight on newly emerging areas.

Start: Monday, 16/03/2020 02:00 pm
End: Tuesday, 17/03/2020 05:00 pm


24/01/2020

2. FHST Meeting on Geometry and Analysis

This is the second meeting in a series of seminars on Geometric Analysis jointly organized by the Universities of Freiburg, Heidelberg, Stuttgart and Tübingen. It is intended to be a regular meeting of researchers from the South-West with an interest in the fields of geometry and analysis.

Start: Friday, 24/01/2020 01:00 pm
End: Friday, 24/01/2020 06:00 pm
Related project(s):
03Geometric operators on a class of manifolds with bounded geometry32Asymptotic geometry of the Higgs bundle moduli space


15/01/2020 | Seminar

Wave equations and Fourier integral operators on models of an expanding universe

Mathematical general relativity is based on the theory of wave equations on curved spaces. In fact, even the gravitational field itself satisfies a non-linear wave equation, known as Einstein’s equation. Einstein’s equation is, in general, very difficult to solve and one therefore studies the wave equations on special models of the universe. The most simple model is the Minkowski space, which is the model of the universe in special relativity. This model is, however, not “expanding” and therefore not a good model for our universe (which is known to expand). The second most simple model for the universe is the so-called de Sitter space, which is believed to be a more accurate, since it is expanding. Fortunately, it is much easier to predict (estimate) solutions to wave equations on de Sitter space, than on Minkowski space. Moreover, there are natural generalizations of the de Sitter space including models for black holes. One of the most remarkable recent results in mathematical general relativity is the proof that such blackhole models are stable, by work of Hintz and Vasy [HV18].

 

In this winter school, we study wave equations on de Sitter space and the generalizations, including black holes. Though the proof of stability, mentioned above, lies beyond the scope of this winter school, the topics we will discuss are the natural first steps in this direction. We mainly will focus on a paper by Vasy [Vas10], where linear wave equations on asymptotically de Sitter spaces (generalizing de Sitter space) are studied in detail. Many of the non-technical ideas and basic structures in [HV18 ]are already present in [Vas10]. Vasy uses a microlocal analysis point of view,which gives a modern treatment of a classical problem. The methods include the construction and analysis of so-called Fourier integral operators (generalizing pseudo-differential operators), which will be studied in detail. From the time when the paper [Vas10] was published, a sequence of papers including [Vas13], [MSBV14], and [HV15], was published, building up for the final stability result in [HV18]. Even though most of the focus will be on [Vas10], the winter school will include a brief overview of all these papers and in particular an outline of the approach towards [HV18].

Start: Wednesday, 15/01/2020 01:30 am
End: Friday, 17/01/2020 05:00 pm
Related project(s):
21Stability and instability of Einstein manifolds with prescribed asymptotic geometry


05/12/2019 | Conference

Bavarian Geometry & Topology Meeting

This is the sixth instance of the Bavarian Geometry & Topology Meeting, which brings together researchers from Bavaria with international experts.

Start: Thursday, 05/12/2019 10:00 am
End: Friday, 06/12/2019 05:00 pm
Related project(s):
15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds


30/09/2019 | Conference

Buildings 2019

The Buildings conference is a conference series in its 26th year whith a focus on the geometry of spaces of non-positive curvature and in particular the geometry of and group actions on buildings.

Other topics represented in the conference are Kac-Moody geometry, non-compact type symmetric spaces, Coxeter groups, Artin groups (including braid groups) and lattices in locally compact groups. The conference aims in particular at young researchers in the area and fosters collaboration between researchers in closely related fields.

Start: Monday, 30/09/2019 09:00 am
End: Wednesday, 02/10/2019 12:30 pm
Related project(s):
20Compactifications and Local-to-Global Structure for Bruhat-Tits Buildings


24/09/2019 | Conference

DMV-Minisymposium Mathematical Perspectives on General Relativity

General Relativity is a beautiful physical theory which has successfully predicted many natural phenomena such as black holes and gravitational waves. Since Yvonne Choquet-Bruhat’s seminal work in the 1960’s, it has attracted the attention of mathematicians whose attention is caught by the fascinating interactions between the differential geometric setting of the theory, the partial differential Einstein equations describing the behavior of gravitational systems, and the intimate connections with mathematical and theoretical physics.

The aim of the minisymposium is to discuss recent progress in this very active subfield of geometric analysis in a way that is also inviting for young and experienced researchers from neighboring disciplines.

Start: Tuesday, 24/09/2019 10:00 am
End: Tuesday, 24/09/2019 06:00 pm
Related project(s):
05Index theory on Lorentzian manifolds


05/08/2019 | Conference

Geometry and Approximation 2019

An international conference to bring together experts in various fields working on the general scheme of approximation of infinite geometric or algebraic structures by finitary objects. Cases of this general approach appear in Ramsey theory, coarse geometry, geometric group theory, the theory of operator algebras and ergodic theory.

Start: Monday, 05/08/2019 09:30 am
End: Saturday, 10/08/2019 05:30 pm
Related project(s):
02Asymptotic geometry of sofic groups and manifolds


29/07/2019 | Workshop, Conference

Workshop on Curvature and Global Shape

The purpose of the meeting is to study relationships between local and global invariants in Riemannian Geometry. Our intention is to bring together experts in the field as well as young mathematicians.

Start: Monday, 29/07/2019 09:00 am
End: Friday, 02/08/2019 06:00 pm
Related project(s):
11Topological and equivariant rigidity in the presence of lower curvature bounds15Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds


29/07/2019 | Workshop, Conference

Workshop on Bounded Cohomology

The workshop brings together senior researchers, postdocs and graduate students who are working on bounded cohomology and related fields. For more information, see the webpage at www.mathi.uni-heidelberg.de/~aott/bc19.html.

Start: Monday, 29/07/2019 09:00 am
End: Friday, 02/08/2019 06:00 pm
Related project(s):
27Invariants and boundaries of spaces


22/07/2019 | Conference

Geometric and analytic aspects of moduli spaces

This workshop is intended as the continuation of a series of highly successful international conferences centered around the analysis and geometry of gauge-theoretically defined moduli spaces.

Gauge-theoretically defined moduli spaces often exhibit interesting geometry at infinity. In many interesting cases they are non-compact, carry special metrics (often hyperkähler) and limit to certain asymptotic models. Their description requires tools from geometry and global analysis.

We intend to bring together a number of internationally renowned experts as well as younger researchers in the field.

Start: Monday, 22/07/2019 09:30 am
End: Friday, 26/07/2019 01:00 pm
Related project(s):
07Asymptotic geometry of moduli spaces of curves13Analysis on spaces with fibred cusps32Asymptotic geometry of the Higgs bundle moduli space


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