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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