|Registration Deadline:||September 25, 2005 over 15 years ago|
|To apply for Funding you must register by:||July 31, 2005 over 15 years ago|
- Bernd Ammann (Universität Regensburg)
- Simon Brendle (Stanford University)
- Xavier Cabré (Polytechnical University of Cataluña (Barcelona))
- Luis Caffarelli (University of Texas, Austin)
- Sun-Yung Chang (Princeton University)
- Xiu-Xiong Chen
- Szu-yu Sophie Chen
- Jih-Hsin Cheng
- Olivier Druet
- Bruno Franchi
- Ashwin Gover
- Qing Han
- Fengbo Hang
- Gerhard Huisken (Math. Forschungsinstitut Oberwolfach)
- Rafe Mazzeo (Stanford University)
- Jie Qing (University of California, Santa Cruz)
- Richard Schoen (University of California, Irvine)
- Joel Spruck (Johns Hopkins University)
- Gang Tian (Princeton University)
- Jeff Viaclovsky (University of Wisconsin-Madison)
- Xu-Jia Wang (Australian National University)
- Brian White (Stanford University)
- Xiaohua Zhu (Peking University)
This workshop will focus on recent developments in nonlinear elliptic equations and their interactions with differential geometry, Riemannian geometry and complex geometry. Topics will include the study of fully nonlinear elliptic problems which arise for example in the study of hessian equations for hypersurfaces, in complex Kahler geometry or in the prescription of the k-th symmetric functions of the eigenvalues of the Schouten tensor in conformal geometry and its analogue in CR geometry. It will also include the analysis of higher order elliptic equations which arise in affine geometry and conformal geometry. Lecture Schedule with Talk Abstracts SCHEDULE Monday, October 31 9:30 – 10:30 Gang Tian (Princeton Univ.), "Curvature estimate for 4-dimensional Einstein equation" 10:30 – 11:00 Morning Tea – Sixth Floor 11:00 – 12:00 Xiuxiong Chen (Univ. of Wisconsin), "On the Calabi functional in Kahler manifold" 12:00 – 1:00 Jeff Viaclovsky (MIT), “Volume Growth, Curvature Decay, and Critical Metrics” 1:00 – 2:30 Lunch 2:30 – 3:30 Xavier Cabre (ICREA-Univ. Politecnica Catalunya), "Regularity of radial minimizers and extremal radial solutions of semilinear elliptic equations" 3:30 – 4:00 Travel to 60 Evans Hall, UCB 4:10 – 5:10 (At 60 Evans Hall, UCB) Cristian Gutierrez (Temple University), “The Monge-Ampere equation: Overview and Recent Results” Tuesday, November 1 9:30 – 10:30 Richard Schoen (Stanford University), "Blowup issues for the Yamabe equation on high dimensional manifolds" 10:30 – 11:00 Morning Tea – Sixth Floor 11:00 – 12:00 Simon Brendle (Stanford University), "Global convergence of the Yamabe flow in dimension 6 and higher" 12:00 – 1:00 Olivier Druet (ENS Lyons), “The prescribed scalar curvature problem” 1:00 – 2:30 Lunch 2:30 – 3:30 Bernd Amman (Univ. Nancy), "The first Dirac eigenvalue in a conformal class" 3:30 – 4:00 Afternoon Tea – Sixth Floor 4:00 – 5:00 Xiaohua Zhu (Beijing University), “Kahler-Ricci flow and certain complex Monge-Ampere equation" Wednesday, November 2 9:30 – 10:30 Gerhard Huisken (Max Planck Inst. f. Gravitationsphysik), "Rigidity inequalities via inverse mean curvature flow" 10:30 – 11:00 Morning Tea – Sixth Floor 11:00 – 12:00 J. Cheng (Academica Sinica, Taipei), "The mean curvature equation in Pseudohermitian geometry" 12:00 – 1:00 Sophie Chen (Princeton University), “Boundary Estimates for Some Fully Nonlinear PDEs and Applications to Conformal Geometry” 1:00 – 2:30 Lunch 2:30 – 3:30 Qing Han (Univ. of Notre Dame), “Smooth local isometric embedding of surfaces with Gauss curvature changing sign monotonically across a curve” 3:30 – 4:00 Afternoon Tea – Sixth Floor 4:00 – 5:00 Nassif Ghoussoub (Univ. of British Columbia), "Selfdual variational principles for PDEs and evolution equations" Thursday, November 3 9:30 – 10:30 Bruno Franchi (Univ. of Bologna), "Intrinsic submanifolds of Heisenberg group" 10:30 – 11:00 Morning Tea – Sixth Floor 11:00 – 12:00 Joel Spruck (Johns Hopkins Univ.), "Complete hypersurfaces of constant curvature in Hyperbolic space with prescribed asymptotic boundary" 12:00 – 1:00 Refe Mazzeo (Stanford University), “Einstein metrics and higher rank geometry” 1:00 – 2:30 Lunch 2:30 – 3:30 Brian White (Stanford University), "Getting a handle on the helicoid" 3:30 – 4:00 Afternoon Tea – Sixth Floor 4:00 – 5:00 Xujia Wang (Australian National Univ.), “Fully nonlinear partial differential equations and applications in geometry” Friday, November 4 9:30 – 10:30 Luis Caffarelli (Univ. of Texas, Austin), "On homogenization and rates of convergence for random fully nonlinear equations" 10:30 – 11:00 Morning Tea – Sixth Floor 11:00 – 12:00 Alice Chang (Princeton Univ.), "Conformal invariants associated with a smooth measure" 12:00 – 1:00 Rod Gover (Univ. of Auckland) “Conformal Laplacian operators and Q-curvature on Einstein manifolds” 1:00 – 2:30 Lunch 2:30 – 3:30 Jie Qing (UC Santa Cruz), "“On semi-linear conformally invariant PDE” 3:30 – 4:00 Afternoon Tea – Sixth Floor 4:00 – 5:00 Fengbo Hang (Princeton & Michigan State Univ.), “On the higher order Q curvature on the Sphere”Show less
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.
MSRI does not hire an outside company to make hotel reservations for our workshop participants, or share the names and email addresses of our participants with an outside party. If you are contacted by a business that claims to represent MSRI and offers to book a hotel room for you, it is likely a scam. Please do not accept their services.
MSRI has preferred rates at the Hotel Shattuck Plaza, depending on room availability. Guests can call the hotel's main line at 510-845-7300 and ask for the MSRI- Mathematical Science Research Institute discount. To book online visit this page (the MSRI rate will automatically be applied).
MSRI has preferred rates at the Graduate Berkeley, depending on room availability. Reservations may be made by calling 510-845-8981. When making reservations, guests must request the MSRI preferred rate. Enter in the Promo Code MSRI123 (this code is not case sensitive).
MSRI has preferred rates at the Berkeley Lab Guest House, depending on room availability. Reservations may be made by calling 510-495-8000 or directly on their website. Select "Affiliated with the Space Sciences Lab, Lawrence Hall of Science or MSRI." When prompted for your UC Contact/Host, please list Chris Marshall (email@example.com).
MSRI has a preferred rates at Easton Hall and Gibbs Hall, depending on room availability. Guests can call the Reservations line at 510-204-0732 and ask for the MSRI- Mathematical Science Research Inst. rate. To book online visit this page, select "Request a Reservation" choose the dates you would like to stay and enter the code MSRI (this code is not case sensitive).
Additional lodging options may be found on our short term housing page.
Oct 31, 2005
Nov 01, 2005
Nov 02, 2005
Nov 03, 2005
Nov 04, 2005