Projekte

Der Schwerpunkt untergliedert sich in drei Projektbereiche "Globale Riemannsche Geometrie", "Geometrische Analysis" und "Symplektische Geometrie". Die folgende Eingruppierung soll einen Überblick über die Akitivitäten in den einzelnen Bereichen geben. Natürlich strahlen viele Projekte in mehrere Bereiche aus, was auch die enge Vernetzung der Einzelprojekte widerspiegelt.

Globale Riemannsche Geometrie

Uwe Abresch (Bochum):
The Isometric Problem in Symmetric Spaces of Non-Compact-Type

Uwe Abresch, Thomas Püttmann (Bochum):
The geometry of exotic spheres and exotic projective spaces

Uwe Abresch, Thomas Püttmann (Bochum):
Stratifications of spaces with nonnegative sectional curvature and their relation to global structures and invariants

Oliver Baues (Karlsruhe):
Affine manifolds and complex geometry

Andreas Bernig (Zürich):
Differential Geometry of Singular Spaces

Anand Dessai (Münster):
Topology of positively curved manifolds with symmetry

Thomas Foertsch (Zürich):
Large Products of hyperbolic metric spaces

Ernst Heintze (Augsburg):
Submanifolds and group actions

Ines Kath (Leipzig):
The structure of pseudo-Riemannian symmetric spaces and holonomy groups

Gerhard Knieper (Bochum), Jens Heber (Kiel):
Harmonic Spaces in Riemannian Geometry

Dieter Kotschick (LMU München):
Geometric formality

Dieter Kotschick (LMU München):
Asymptotic invariants of manifolds

Linus Kramer (TU Darmstadt), Stephan Stolz (Notre Dame):
Classification of isoparametric hypersurfaces and of manifolds which are like projective spaces

Bernhard Leeb (LMU München):
Polygons in Symmetric Spaces and Buildings

Joachim Lohkamp (Münster):
Scalar Curvature Contents

Vladimir S. Matveev (Freiburg):
Global theory of geodesically equivalent metrics

Lorenz Schwachhöfer (Dortmund):
Riemannian metrics with lower curvature bounds

Uwe Semmelmann (Hamburg):
Nearly and almost Kähler geometry

Gudlaugur Thorbergsson (Köln):
Lie transformation groups in Riemannian Geometry

Wilderich Tuschmann (Kiel):
Manifolds with Nonnegative and Almost Nonnegative Curvature

Hartmut Weiß (LMU München):
Deformations of 3-dimensional cone-manifold structures

Burkhard Wilking, Wilderich Tuschmann (Münster):
Representations whose orbit spaces have boundary and non-collapsing phenomena

Geometrische Analysis

Christian Bär (Potsdam):
Dirac Operators on Lorentzian manifolds and their quantization

Christian Bär (Potsdam):
Noncommutative Geometry and Geometric Structures

Werner Ballmann (Bonn), Werner Müller (Bonn), Dorothee Schüth (HU Berlin):
Spectral Theory of Dirac and Laplace Operators

Helga Baum (HU Berlin):
Geometry of Lorentzian manifolds with special holonomy

Alexander I. Bobenko, Ulrich Pinkall (TU Berlin):
Constrained Willmore Surfaces

Ulrich Bunke (Göttingen):
Geometrische Indextheorie für Mannigfaltigkeiten mit Ecken

Ulrich Bunke, Thomas Schick (Göttingen):
Geometric and Twisted Topology

Josef Dorfmeister (TU München), Jost-Hinrich Eschenburg:
Surfaces of Constant Mean Curvature with prescribed Fundamental Group

Felix Finster (Regensburg):
Curvature problems in semi-riemannian manifolds and geometric evolution equations

Thomas Friedrich (HU Berlin):
Special Geometries and Fermionic Field Equations

Sebastian Goette (Regensburg):
Higher Torsion Invariants and Applications to Smooth Maps, Bundles and Foliations

Karsten Große-Brauckmann (Darmstadt):
Surfaces with prescribed curvature in theory and application

Daniel Grieser (Oldenburg):
Geometry and analysis of semi-algebraic sets

Bernhard Hanke (LMU München), Thomas Schick (Göttingen):
Positive scalar curvature at the intersection of global analysis, topology and coarse geometry

Wolfgang Kuehnel (Stuttgart), Hans-Bert Rademacher (Leipzig):
Conformal Geometry of Generalized Brinkmann Spaces

Symplektische Geometrie

Peter Albers:
Functoriality in Floer homology

Kai Cieliebak (LMU München):
The Symplectic vortex equations and applications

Kai Cieliebak (LMU München), Klaus Mohnke (HU Berlin):
Punctured Holomorphic Curves in Symplectic Geometry

Urs Frauenfelder (LMU München):
Hamiltonian chords of quantized action

Hans-Jörg Geiges (Köln):
Contact circles and surgery

Ursula Hamenstädt (Bonn):
Symplectic invariants of geodesic flows in negative curvature

Lorenz Schwachhöfer (Dortmund):
Symplectic connections and symplectic realizations

Matthias Schwarz (Leipzig):
Analysis of Floer Homology, its Natural Ring Structure and its S¹-equivariant version, in Relation with the Free Loop Space and Symplectic Invariants

Bernd Siebert (Freiburg):
Mirror symmetry, affine geometry and Gromov-Hausdorff limits

Knut Smoczyk, Matthias Schwarz (Leipzig):
Analysis of singularities of the Lagrangian mean curvature flow with pseudo-holomorphic curves

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