## About

Each of the 47 new SPP projects is asked to prepare a 5 minute beamer presentation. Please restrict to an overview (background, principal goals and methods), but refrain from technical details. We reserve a few minutes of discussion for each project.

The presentation should be given by one member of each project. We especially encourage presentations of younger / recently employed members of the SPP.

**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

**73**Geometric Chern characters in p-adic equivariant K-theory

**80**Nonlocal boundary problems: Index theory and semiclassical asymptotics

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