## 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

#### 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

#### 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

#### 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):****27**Invariants 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):****07**Asymptotic geometry of moduli spaces of curves**13**Analysis on spaces with fibred cusps**32**Asymptotic geometry of the Higgs bundle moduli space

#### 19/07/2019 | Workshop

### Freiburg-Heidelberg-Stuttgart Meeting on Geometry and Analysis

This is the first meeting in a series of seminars on Geometric Analysis jointly organized by the Universities of Freiburg, Heidelberg and Stuttgart. 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, 19/07/2019 01:00 pm**End: **Friday, 19/07/2019 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

#### 08/07/2019 | Workshop

### Geometry of Scalar Curvature 2019

This is a combination of a classical style conference with a workshop on Gromov's paper: "Metric inequalities with scalar curvature", GAFA 28 (2018), 645-726. The event takes place at the "Palazzone di Cortona", Tuscany, Italy. Organizers: Bernhard Hanke (Augsburg), Christos Mantoulidis (MIT), Paolo Piazza (Rome), Thomas Schick (Göttingen), Christina Sormani (CUNY)

**Start: **Monday, 08/07/2019 09:00 am**End: **Saturday, 13/07/2019 11:00 am
**Related project(s):****09**Diffeomorphisms and the topology of positive scalar curvature**15**Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds