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Schedule, Notes/Handouts & Videos

Recent Results in Nonlinear Elliptic Equations and their Interactions with Geometry October 31, 2005 - November 04, 2005

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Oct 31, 2005
Monday
09:30 AM - 10:30 AM
  Curvature Estimate for 4-dimensional Einstein Equation.
Gang Tian (Princeton University)
11:00 AM - 12:00 PM
  On the Calabi Functional in Kahler Manifold
Xiu-Xiong Chen
12:00 PM - 01:00 PM
  Volume Growth, Curvature Decay, and Critical Metrics
Jeff Viaclovsky (University of Wisconsin-Madison)
02:30 PM - 03:30 PM
  Regularity of Radial Minimizers and Extremal Radial Solutions of Semilinear Elliptic Equations.
Xavier Cabré (Polytechnical University of Cataluña (Barcelona))
Nov 01, 2005
Tuesday
09:30 AM - 10:30 AM
  Blowup Issues for the Yamabe Equation on High Dimensional Manifolds.
Richard Schoen (University of California, Irvine)
11:00 AM - 12:00 PM
  Global Convergence of the Yamabe Flow in Dimension 6 and Higher.
Simon Brendle (Columbia University)
12:00 PM - 01:00 PM
  The Prescribed Scalar Curvature Problem.
Olivier Druet
02:30 PM - 03:30 PM
  The First Dirac Eigenvalue in a Conformal Class.
Bernd Ammann (Universität Regensburg)
04:00 PM - 05:00 PM
  Kahler-Ricci Flow and Certain Complex Monge-Ampere Equation.
Xiaohua Zhu (Peking University)
Nov 02, 2005
Wednesday
09:30 AM - 10:30 AM
  Rigidity Inequalities Via Inverse Mean Curvature Flow.
Gerhard Huisken (Math. Forschungsinstitut Oberwolfach; Eberhard-Karls-Universität Tübingen)
11:00 AM - 12:00 PM
  The Mean Curvature Equation in Pseudohermitian Geometry.
Jih-Hsin Cheng
12:00 PM - 01:00 PM
  Boundary Estimates for Some Fully Nonlinear PDEs and Applications to Conformal Geometry.
Szu-yu Sophie Chen
02:30 PM - 03:30 PM
  Smooth Local Isometric Embedding of Surfaces with Gauss Curvature Changing Sign Monotonically Across a Curve.
Qing Han
04:00 PM - 05:00 PM
  Selfdual Variational Principles for PDEs and Evolution Equations.
Nassif Ghoussoub (University of British Columbia)
Nov 03, 2005
Thursday
09:30 AM - 10:30 AM
  On Semi-linear Conformally Invariant PDE.
Jie Qing (University of California, Santa Cruz)
11:00 AM - 12:00 PM
  Complete Hypersurfaces of Constant Curvature in Hyperbolic Space with Prescribed Asymptotic Boundary.
Joel Spruck (Johns Hopkins University)
12:00 PM - 01:00 PM
  Einstein Metrics and Higher Rank Geometry.
Rafe Mazzeo (Stanford University)
02:30 PM - 03:30 PM
  Getting a Handle on the Helicord.
Brian White (Stanford University)
04:00 PM - 05:00 PM
  Fully Nonlinear Partial Differential Equations and Applications in Geometry.
Xu-Jia Wang (Australian National University)
Nov 04, 2005
Friday
11:00 AM - 12:00 PM
  Conformal Invariants Associated with a Smooth Measure.
Sun-Yung Chang (Princeton University)
12:00 PM - 01:00 PM
  Conformal Laplacian Operators and Q-curvature on Einstein Manifolds.
Ashwin Gover
02:30 PM - 03:30 PM
  Intrinsic Submanifolds of Heisenberg Group.
Bruno Franchi
04:00 PM - 05:00 PM
  On the Higher Order Q Curvature on the Sphere.
Fengbo Hang
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