Ricci Curvature: Limit Spaces and Kahler Geometry

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Ricci Curvature: Limit Spaces and Kahler Geometry

 08 - 12 Jul 2013

ICMS, 15 South College Street Edinburgh

Scientific Organisers:

  • Gilles Carron, Universite de Nantes
  • Mark Haskins, Imperial College London
  • Hans-Joachim Hein, Imperial College London
  • Michael Singer, University College London

Scientific Advisory Group:

  • Tobias Colding, MIT
  • Simon Donaldson, Imperial College London
  • Gang Tian, Princeton University
  • Burkhard Wilking, Universität Munster

About:

The theme of the programme was the geometry and analysis of the Ricci tensor on Riemannian manifolds, with applications to the study of Einstein metrics and to Kahler geometry. Photographs from the Summer School and Workshop can be seen and downloaded here.

Speakers:

  • Simon Donaldson, Imperial College London - Algebraic Structures on Gromov-Hausdorff Limits

  • Song Sun, University of California -  Proof of the Existence Theorem 

  • Yanir Rubinstein, University of Maryland - Living on the Edge: Ricci Continuity Method

  • Gang Tian, Peking University and Princeton University - K-Stability and Kähler-Einstein Metrics 

  • Jeff Cheeger, New York University - Quantitative Behavior of Singular Sets 

  • Mihai Paun, University of Illinois - Metrics with Conic Singularities Along Unreduced Divisors

  • Aaron Naber, Northwestern University - Lower Ricci Curvature, Convexity and Applications 

  • Burkhard Wilking, University of Munster - Structure of Fundamental Groups of Manifolds with Ricci Curvature Bounded Below 

  • Chi Li, Rutgers University - On the Construction of Conical Kähler-Einstein Metrics

  • John Lott, University of California - Ricci Curvature and Optimal Transport

  • Robert Berman, Chalmers University - Kähler-Einstein Metrics, Canonical Random Point Processes and Birational Geometry

  • Simon Donaldson, Imperial College London - Metrics with Cone Singularities Along Divisors & Energy Methods in Kähler Geometry

  • Johannes Nordström, University of Bath - Diffeomorphism Types of Compact G_2-Manifolds

  • Toshiki Mabuchi, Osaka University - Donaldson-Tian-Yau's Conjecture for General Polarization

Sponsors and Funders:

This workshop is generously supported by the Clay Mathematics Institute and the Centre for Analysis and Nonlinear PDEs.