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Workshop

Geometric Analysis December 01, 2003 - December 05, 2003
Registration Deadline: December 05, 2003 over 15 years ago
To apply for Funding you must register by: September 01, 2003 over 15 years ago
Parent Program:
Organizers Ben Chow, Peter Li, Richard Schoen (chair), and Richard Wentworth
Speaker(s)

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Description
This workshop will focus on PDE methods in Differential Geometry and the wide range of applications which these methods are having in the field. Topics will include geometric variational problems, evolution equations, and analysis on Riemannian manifolds. In particular, emphasis will be on subjects such as minimal submanifolds, special Lagrangian submanifolds, harmonic maps, mean curvature flow, Ricci flow, and function theory on complete manifolds. Other PDEs arise from geometric considerations will also be included. ATTENDING PARTICIPANTS: Ben Chow (UCSD) Peter Li (UC, Irvine) Richard Schoen (Stanford) Richard Wentworth (Johns Hopkins) Rafe Mazzeo (Stanford) Leon Simon (Stanford) Brian White (Stanford) Jon Wolfson (visiting Stanford) Lei Ni (UCSD) Gang Tian (Princeton) Jeff Viaclovsky (MIT) Mu-Tao Wang (Columbia) Yu Yuan (Washington, Seattle) Tristan Riviere (ETH, Zurich) Xiu-Xiong Chen (Wisconsin, Madison) Jiaping Wang (U Minnesota) Peng Fei Guan (McMaster, Canada) Mohan Ramachandran (Buffalo) Ailana Fraser (UBC) Bob Gulliver (Minnesota) Bo Guan (Tennessee) John Loftin (Rutgers-Newark) Harold Donnelly (Purdue) Changyou Wang (Kentucky)
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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A block of rooms has been reserved at the Hotel Durant. Reservations may be made by calling 1-800-238-7268. When making reservations, guests must request the MSRI preferred rate. If you are making your reservations on line, please go to this link and enter the promo/corporate code MSRI123. Our preferred rate is $129 per night for a Deluxe Queen/King, based on availability.

Additional lodging options (short term housing page - Short Term Housing

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Schedule, Notes/Handouts & Videos
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Dec 01, 2003
Monday
08:00 AM - 05:00 PM
  K-stability and Kaehler metrics of constant scalar curvature
Gang Tian (Princeton University)
08:00 AM - 05:00 PM
  Homogeneous solutions to elliptic equations
Yu Yuan (University of Washington)
08:00 AM - 05:00 PM
  The space of Kaehler potentials
Xiu-Xiong Chen
08:00 AM - 05:00 PM
  The symmetric minimal surface equation
Leon Simon
08:00 AM - 05:00 PM
  Aspects of Mean Curvature Flow
Brian White (Stanford University)
10:00 AM - 11:00 AM
  Spectral theory for tensor products of Hermitian holomorphic line bundles
Harold Donnelly
11:30 AM - 12:30 PM
  The Plateau problem for locally convex hypersurfaces
Bo Guan (Ohio State University)
02:30 PM - 03:30 PM
  The Yang-Mills flow on Kaehler surfaces
Richard Wentworth (University of Maryland)
04:00 PM - 05:00 PM
  Conformal deformation of smallest eigenvalues of the Ricci tensor
Peng-Fei Guan
Dec 02, 2003
Tuesday
10:00 AM - 11:00 AM
  Minimal surface systems in higher codimension
Mu-Tao Wang (Columbia University)
11:30 AM - 12:30 PM
  Kaehler manifolds with positive spectrum
Jiaping Wang
02:30 PM - 03:30 PM
  Bach-flat asymptotically locally Euclidean metrics
Jeff Viaclovsky (University of Wisconsin-Madison)
04:00 PM - 05:00 PM
  TBA
Gang Tian (Princeton University)
Dec 03, 2003
Wednesday
10:00 AM - 11:00 AM
  Elementary construction of subharmonic functions on open manifolds
Mohan Ramachandran
11:30 AM - 12:30 PM
  Singular semi-flat Calabi-Yau metrics on S^2
John Loftin (Rutgers University)
Dec 04, 2003
Thursday
10:00 AM - 11:00 AM
  TBA
Yu Yuan (University of Washington)
11:30 AM - 12:30 PM
  Positive scalar curvature and Poincare-Einstein fillings
Rafe Mazzeo (Stanford University)
02:30 PM - 03:30 PM
  TBA
Xiu-Xiong Chen
04:00 PM - 05:00 PM
  The singular set of 1-1 integral currents
Tristan Riviere
Dec 05, 2003
Friday
10:00 AM - 11:00 AM
  Monotonicity and holomorphic functions on complete Kaehler manifolds
Lei Ni (University of California, San Diego)
11:30 AM - 12:30 PM
  TBA
Leon Simon
02:30 PM - 03:30 PM
  TBA
Brian White (Stanford University)
04:00 PM - 05:00 PM
  Regularity of biharmonic maps into Riemannian manifolds
Changyou Wang (University of Kentucky)