## 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“.

#### 19/11/2021 | Workshop

### Kickoff meeting of the SPP2026

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):****34**Asymptotic geometry of sofic groups and manifolds II**35**Geometric operators on singular domains**36**Cohomogeneity, curvature, cohomology**37**Boundary value problems and index theory on Riemannian and Lorentzian manifolds**38**Geometry of surface homeomorphism groups**39**Geometric invariants of discrete and locally compact groups**40**Construction of Riemannian manifolds with scalar curvature constraints and applications to general relativity**41**Geometrically defined asymptotic coordinates in general relativity**42**Spin obstructions to metrics of positive scalar curvature on nonspin manifolds**43**Singular Riemannian foliations and collapse**44**Actions of mapping class groups and their subgroups**45**Macroscopic invariants of manifolds**46**Ricci flows for non-smooth spaces, monotonic quantities, and rigidity**47**Self-adjointness of Laplace and Dirac operators on Lorentzian manifolds foliated by noncompact hypersurfaces**48**Profinite and RFRS groups**49**Analysis on spaces with fibred cusps II**50**Probabilistic and spectral properties of weighted Riemannian manifolds with Kato bounded Bakry-Emery-Ricci curvature**51**The geometry of locally symmetric manifolds via natural maps**52**Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II**53**Gauge-theoretic methods in the geometry of G2-manifolds**54**Cohomology of symmetric spaces as seen from infinity**55**New hyperkähler spaces from the the self-duality equations**56**Large genus limit of energy minimizing compact minimal surfaces in the 3-sphere**57**Existence, regularity and uniqueness results of geometric variational problems II**58**Profinite perspectives on l2-cohomology**59**Laplacians, metrics and boundaries of simplicial complexes and Dirichlet spaces**60**Property (T)**61**At infinity of symmetric spaces**62**A unified approach to Euclidean buildings and symmetric spaces of noncompact type**63**Uniqueness in mean curvature flow**64**Spectral geometry, index theory and geometric flows on singular spaces II**65**Resonances for non-compact locally symmetric spaces**66**Minimal surfaces in metric spaces II**67**Asymptotics of singularities and deformations**68**Minimal Lagrangian connections and related structures**69**Wall-crossing and hyperkähler geometry of moduli spaces**70**Spectral theory with non-unitary twists**71**Rigidity, deformations and limits of maximal representations II**72**Limits of invariants of translation surfaces**74**Rigidity, stability and deformations in nearly parallel G2-geometry**75**Solutions to Ricci flow whose scalar curvature is bounded in L^p II**76**Singularities of the Lagrangian mean curvature flow**77**Asymptotic geometry of the Higgs bundle moduli space II**78**Duality and the coarse assembly map II**79**Alexandrov geometry in the light of symmetry and topology

#### 17/06/2021 | Seminar

### A-Fri-Ka Riemannian Topology Research Seminar

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

**Start: **Thursday, 17/06/2021 02:00 pm**End: **Thursday, 17/06/2021 06:00 pm

#### 25/05/2021 | Conference

### Differential Geometry in the Large

The conference will highlight recent advances in differential geometry and geometric analysis with a particular emphasis on new developments in the geometry and topology of positive scalar curvature.

**Start: **Tuesday, 25/05/2021 09:00 am**End: **Friday, 28/05/2021 06:00 pm

#### 29/04/2021 | Seminar

### A-Fri-Ka Riemannian Topology Research Seminar

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

**Start: **Thursday, 29/04/2021 02:00 pm**End: **Thursday, 29/04/2021 06:00 pm

#### 08/04/2021 | Seminar

### Geometric Analysis Seminar

**Start: **Thursday, 08/04/2021 03:00 pm**End: **Friday, 02/07/2021 04:00 pm
**Related project(s):****75**Solutions to Ricci flow whose scalar curvature is bounded in L^p II

#### 04/03/2021 | Seminar

### A-Fri-Ka Riemannian Topology Research Seminar

This is an online research seminar organized by Annand Dessai (Fribourg), Bernhard Hanke (Augsburg) and Wilderich Tuschmann (Karlsruhe).

**Start: **Thursday, 04/03/2021 02:00 pm**End: **Thursday, 04/03/2021 06:00 pm
**Related project(s):****15**Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds**52**Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II

#### 21/01/2021 | Seminar

### A-Fri-Ka Riemannian Topology Research Seminar

**Start: **Thursday, 21/01/2021 02:00 pm**End: **Thursday, 21/01/2021 06:00 pm
**Related project(s):****15**Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds**52**Spaces and Moduli Spaces of Riemannian Metrics with Curvature Bounds on compact and non-compact Manifolds II

#### 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

#### 13/07/2020 | Conference

### Isoperimetric Inequalities in Geometric Partial Differential Equations

Isoperimetric comparisons may be used to uncover new properties of curved spaces, and to estimate eigenvalues of operators of physical significance. Isoperimetric estimates have an ancient history, comparing the area and perimeter of regions. Only recently have the complex geometric situations seen in nature begun to be understood. These include excitation energies in quantum mechanics, and the geometry of soap bubbles. The field brings together the theory of PDE, differential geometry and non-smooth metric geometry and has continued to produce novel and exciting

mathematics since antiquity.

This program will gather together experts in such isoperimetric inequalities to progress this challenging, yet recently quite fruitful area. In particular it will facilitate communication between researchers working on different aspects of the field that may not yet be communicating with each other. For example, those researchers with expertise in PDE aspects may not be up to date on the latest results in RCD spaces and vice-versa.

**Start: **Monday, 13/07/2020 12:00 am**End: **Friday, 24/07/2020 12:00 am
**Related project(s):****22**Willmore functional and Lagrangian surfaces