## 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“.

#### 20/09/2020 | Workshop

### Women in Mathematical Physics

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):****05**Index theory on Lorentzian manifolds

#### 20/07/2020 | Conference

### Geometric structures, compactifications and group actions

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):****01**Hitchin components for orbifolds**07**Asymptotic geometry of moduli spaces of curves**12**Anosov representations and Margulis spacetimes**26**Projective surfaces, Segre structures and the Hitchin component for PSL(n,R)**28**Rigidity, deformations and limits of maximal representations**32**Asymptotic geometry of the Higgs bundle moduli space

#### 29/06/2020 | Conference

### Differential Geomety and Geometric Analysis

The conference will be held in honor of Karsten Grove.

The conference "Differential geometry and geometric analysis" will take place June 29 to July 3, 2020 in Florence, Italy.

Several major themes have been selected for the conference, including:

- Analysis in metric spaces, Geometric group theory, Geometric measure theory,

- Geometric theory of PDE's, Group actions on Riemannian manifolds, Manifolds of positive and nonpositive curvature,

- Metrics with special holonomy, Minimal manifolds and Min-Max Theory, Ricci Flow.

**Start: **Monday, 29/06/2020 09:00 am**End: **Friday, 03/07/2020 06:00 pm
**Related project(s):****15**Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds

#### 23/03/2020 | Conference

### Arithmetic groups and 3-manifolds

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. This conference will bring together researchers with various backgrounds around links between number theory and 3-manifolds. Central topics of the conference are the cohomology of arithmetic groups, the relation between torsion and L2-torsion, profinite invariants of 3-manifolds, and number theoretic ramifications.

**Start: **Monday, 23/03/2020 11:00 am**End: **Friday, 27/03/2020 01:00 pm
**Related project(s):****18**Analytic L2-invariants of non-positively curved spaces

#### 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):****03**Geometric operators on a class of manifolds with bounded geometry**32**Asymptotic geometry of the Higgs bundle moduli space

#### 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):****15**Spaces 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):****20**Compactifications 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):****05**Index 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):****02**Asymptotic 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):****11**Topological and equivariant rigidity in the presence of lower curvature bounds**15**Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds