Report 35/2005: Differentialgeometrie im Großen (August 7th -- August 13th, 2005) (Q870677)

Summary: The meeting continued the biannual conference series Differentialgeometrie im Großen at the MFO which was established in the 60's by Klingenberg and Chern. While global Riemannian geometry with its connections to geometric analysis and topology remained an important focus of the conference, this time special emphasis was given to complex and symplectic geometry. Contributions: \parindent=5mm\begin{itemize}\item[--]Robert L. Bryant, A flow for real hypersurfaces in unimodular complex surfaces (p. 1987)Grigory Mikhalkin Tropical curves, surfaces and beyond (p. 1988)\item[--]Ivan Smith (joint with Paul Seidel), Contractible surfaces and Stein exotica (p. 1989) \item[--]John Lott (joint with Cédric Villani), Ricci curvature for metric-measure spaces (p. 1992) \item[--]Vitali Kapovitch (joint with Igor Belegradek), Classification of negatively pinched manifolds with amenable fundamental groups (p. 1995) \item[--]Hartmut Weiß, Rigidity of cone-3-manifolds (p. 1998) \item[--]Alexander Lytchak (joint with Thomas Foertsch), Theorem of de Rham for metric spaces (p. 2000) \item[--]Gabriele Link, Geometry and dynamics of discrete subgroups of higher rank Lie groups (p. 2001) \item[--]Joachim Lohkamp (joint with Ulrich Christ), Singular Minimal Hypersurfaces and Scalar Curvature (p. 2003) \item[--]Bernhard Hanke, Positive scalar curvature with symmetry(p. 2003) \item[--]Xiuxiong Chen (joint with Gang Tian), Foliation by holomorphic discs and applications to Kähler geometry (p. 2005) \item[--]Ben Weinkove (joint with Jian Song), Energy functionals and canonical Kähler metrics (p. 2007) \item[--]Joel Fine (joint with Simon K. Donaldson), Toric anti-self-dual four manifolds via complex geometry (p. 2010) \item[--]Ignasi Mundet-i-Riera (joint with Gang Tian), Hamiltonian quantum product in equivariant cohomology (p. 2012) \item[--]Ciprian Manolescu Link homology theories from symplectic geometry (p. 2015) \item[--]Tim Perutz, Broken pencils and four-manifold invariants(p. 2017) \item[--]Yuguang Shi (joint with Gang Tian, MIT), Rigidity of Asymptotically Hyperbolic Manifolds (p. 2020) \item[--]Jan Metzger, Foliations of asymptotically flat 3-manifolds by 2-surfaces prescribed mean curvature (p. 2022) \item[--]John Loftin (joint with S. T. Yau, Eric Zaslow), Singular semi-flat Calabi-Yau metrics on \(S^n\) (p. 2025) \item[--]Guofang Wang, A fully nonlinear scalar curvature (p. 2028) \item[--]Burkhard Wilking (joint with Vitali Kapovitch), Fundamental groups of manifolds with Ricci curvature bounded below (p. 2031) \item[--]Gregor Weingart, Rozansky-Witten Invariants for Quaternionic Kähler Manifolds (p. 2032) \item[--]Thomas Vogel, Existence of Engel structures (p. 2034).\end{itemize}