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Workshop Recent Results in Nonlinear Elliptic Equations and their Interactions with Geometry
Frank Pacard, Neil Trudinger and Paul YangShow All Collapse Oct 31, 2004
Sunday09:30 AM - 10:30 AMCurvature Estimate for 4-dimensional Einstein Equation.
Gang Tian (Princeton University)Oct 31, 2005
Monday11:00 AM - 12:00 PMOn the Calabi Functional in Kahler Manifold
Xiu-Xiong Chen12:00 PM - 01:00 PMVolume Growth, Curvature Decay, and Critical Metrics
Jeff Viaclovsky (University of Wisconsin)02:30 PM - 03:30 PMRegularity of Radial Minimizers and Extremal Radial Solutions of Semilinear Elliptic Equations.
Xavier Cabré (Polytechnical University of Cataluña (Barcelona))Nov 01, 2005
Tuesday09:30 AM - 10:30 AMBlowup Issues for the Yamabe Equation on High Dimensional Manifolds.
Richard Schoen (Stanford University)11:00 AM - 12:00 PMGlobal Convergence of the Yamabe Flow in Dimension 6 and Higher.
Simon Brendle12:00 PM - 01:00 PMThe Prescribed Scalar Curvature Problem.
Olivier Druet02:30 PM - 03:30 PMThe First Dirac Eigenvalue in a Conformal Class.
Bernd Ammann04:00 PM - 05:00 PMKahler-Ricci Flow and Certain Complex Monge-Ampere Equation.
Xiaohua ZhuNov 02, 2005
Wednesday09:30 AM - 10:30 AMRigidity Inequalities Via Inverse Mean Curvature Flow.
Gerhard Huisken (Mathematisches Forschungsinstitut Oberwolfach)11:00 AM - 12:00 PMThe Mean Curvature Equation in Pseudohermitian Geometry.
Jih-Hsin Cheng12:00 PM - 01:00 PMBoundary Estimates for Some Fully Nonlinear PDEs and Applications to Conformal Geometry.
Szu-yu Sophie Chen02:30 PM - 03:30 PMSmooth Local Isometric Embedding of Surfaces with Gauss Curvature Changing Sign Monotonically Across a Curve.
Qing Han04:00 PM - 05:00 PMSelfdual Variational Principles for PDEs and Evolution Equations.
Nassif Ghoussoub (University of British Columbia)Nov 03, 2005
Thursday09:30 AM - 10:30 AMOn Semi-linear Conformally Invariant PDE.
Jie Qing11:00 AM - 12:00 PMComplete Hypersurfaces of Constant Curvature in Hyperbolic Space with Prescribed Asymptotic Boundary.
Joel Spruck12:00 PM - 01:00 PMEinstein Metrics and Higher Rank Geometry.
Rafe Mazzeo (Stanford University)02:30 PM - 03:30 PMGetting a Handle on the Helicord.
Brian White04:00 PM - 05:00 PMFully Nonlinear Partial Differential Equations and Applications in Geometry.
Xu-Jia Wang (Australian National University)Nov 04, 2005
Friday11:00 AM - 12:00 PMConformal Invariants Associated with a Smooth Measure.
Sun-Yung Alice Chang (Princeton University)12:00 PM - 01:00 PMConformal Laplacian Operators and Q-curvature on Einstein Manifolds.
Ashwin Gover02:30 PM - 03:30 PMIntrinsic Submanifolds of Heisenberg Group.
Bruno Franchi04:00 PM - 05:00 PMOn the Higher Order Q Curvature on the Sphere.
Fengbo Hang -
Workshop Analytical and Stochastic Fluid Dynamics
Craig Evans, Susan Friedlander, Boris Rozovsky, Daniel Tataru and David A. Ellwood -
Workshop Introductory Workshop in Nonlinear Dispersive Equations
James Colliander (Toronto), Patrick Gerard (Orsay), Herbert Koch (Dortmund), Natasha Pavlovic (Princeton), Daniel Tataru (Berkeley)Show All Collapse Aug 22, 2005
Monday09:15 AM - 10:15 AMNonlinear Dispersive Equations-Lecture I
Wilhelm Schlag10:45 AM - 11:45 AMWave Packet Methods for Hyperbolic Equations I
Hart Smith (University of Washington)02:00 PM - 03:00 PMNormal Forms in NLS
Jean Bourgain03:30 PM - 04:30 PMNonlinear Dispersive Equations-Talk
Gustavo Ponce (University of California, Santa Barbara)Aug 23, 2005
Tuesday09:15 AM - 10:15 AMNonlinear Dispersive Equations-Lecture II
Wilhelm Schlag10:45 AM - 11:45 AMWave Packet Methods for Hyperbolic Equations II
Hart Smith (University of Washington)02:00 PM - 03:00 PMNonlinear Dispersive Equations-Talk
Kenji Nakanishi03:30 PM - 04:30 PMNon-Generic Blow Up Solutions for the Critical Focusing NLS in1-d
Joachim KriegerAug 24, 2005
Wednesday09:15 AM - 10:15 AMStrichartz Estimates for the Schrodinger Equation with Variable Coefficients
Claude Zuily10:45 AM - 11:45 AMWave Packet Methods for Hyperbolic Equations III
Hart Smith (University of Washington)02:00 PM - 03:00 PMNonlinear Dispersive Equations-Talk
Ioan Bejenaru03:30 PM - 04:30 PMExistence and Nonuniqueness for the Nonlinear Schrodinger Equation
Michael Christ (University of California, Berkeley)Aug 25, 2005
Thursday09:15 AM - 10:15 AMDispersive Effects in High Rotating Fluids
Jean-Yves Chemin10:45 AM - 11:45 AMNonlinear Dispersive Equations-Lecture III
Wilhelm Schlag02:00 PM - 03:00 PMNonlinear Dispersive Equations-Talk
Justin HolmerAug 26, 2005
Friday09:15 AM - 10:15 AMWell-Posedness of the Cauchy Problem for the mKdv Equation
Yoshio Tsutsumi10:45 AM - 11:45 AMLong-Time Existence for Semilinear Klein-Gordon Equations on Compact Manifolds
Jeremie Szeftel (École Normale Supérieure) -
Workshop Introductory Workshop in Nonlinear Elliptic Equations and Its Applications
Luis Caffarelli, L. Craig Evans, Matt Gursky, Cristian Gutierrez, Paul YangThere will be two series of five lectures each by L. Caffarelli and M. Gursky. In addition, each day there will be two more lectures by other speakers.
Show All Collapse Aug 15, 2005
Monday09:30 AM - 10:30 AMBasic Tools for the Regularity Theory of Nonlinear Elliptic Equations, I
Luis Caffarelli (University of Texas)11:00 AM - 12:00 PMSome Fully Nonlinear Equations in Geometry, I
Matthew Gursky (University of Notre Dame)01:30 PM - 02:30 PMNonlinear PDE Methods for Analysis of Phase Transitions in Superconducting and Liquid Crystals
Patricia Bauman02:30 PM - 03:30 PMRegularity of Quasilinear Subelliptic Equations
Andras Domokos04:00 PM - 05:00 PMResolving the Singularities of Minimal Hopf Cones
Yu YuanAug 16, 2005
Tuesday09:30 AM - 10:30 AMBasic Tools for the Regularity Theory of Nonlinear Elliptic Equations, II
Luis Caffarelli (University of Texas)11:00 AM - 12:00 PMSome Fully Nonlinear Equations in Geometry, II
Matthew Gursky (University of Notre Dame)01:30 PM - 02:30 PMBoundary Behavior of Solutions to Second Order Elliptic and Parabolic Equations in Non-smooth Domains
Mikhail Safonov02:30 PM - 03:30 PMOn the Regularity of Solutions to the Monge-Ampere Equation and its Linearization
Diego Maldonado04:00 PM - 05:00 PMNumerical Approximation for Fully Nonlinear Degenerate Equations
Nikolai KrylovAug 17, 2005
Wednesday09:30 AM - 10:30 AMBasic Tools for the Regularity Theory of Nonlinear Elliptic Equations, III
Luis Caffarelli (University of Texas)11:00 AM - 12:00 PMSome Fully Nonlinear Equations in Geometry, III
Matthew Gursky (University of Notre Dame)01:30 PM - 02:30 PMNonliner Elliptical Equation and Its Application Lecture
Fang-Hua Lin02:30 PM - 03:30 PMA General Perron Method and Application
David Hartenstine04:00 PM - 05:00 PMNumerical Approximation for Fully Nonlinear Degenerate Equations-II
Nikolai KrylovAug 18, 2005
Thursday09:30 AM - 10:30 AMBasic Tools for the Regularity Theory of Nonlinear Elliptic Equations, IV
Luis Caffarelli (University of Texas)11:00 AM - 12:00 PMSome Fully Nonlinear Equations in Geometry, IV
Matthew Gursky (University of Notre Dame)01:30 PM - 02:30 PMConstruction of Singular Solutions for a Fully Non-linear Equation in Conformal Geometry
Maria Gonzalez02:30 PM - 03:30 PMFourth Order PDEs of Critical Growth
Emmanuel Hebey04:00 PM - 05:00 PMNumerical Approximation for Fully Nonlinear Degenerate Equations, III
Nikolai KrylovAug 19, 2005
Friday09:30 AM - 10:30 AMBasic Tools for the Regularity Theory of Nonlinear Elliptic Equations, V
Luis Caffarelli (University of Texas)11:00 AM - 12:00 PMSome Fully Nonlinear Equations in Geometry, V
Matthew Gursky (University of Notre Dame)01:30 PM - 02:30 PMSome Liouville Type Theorems
Yanyan Li02:30 PM - 03:30 PMA Constant Rank Theorem of Convex Solutions of Fully Nonlinear Equations
Peng-Fei Guan04:00 PM - 05:00 PMSecond-order Asymptotics for Fast Nonlinear Diffusions
Robert McCann (University of Toronto) -
Workshop MSRI Workshop for Women in Mathematics: An Introduction to Elliptic Partial Differential Equations
Alice Chang (Princeton) and Lawrence C Evans (UC Berkeley)This workshop will be an intensive two-day introductory minicourse on elliptic PDE. L C Evans will present a series of lectures on the basic theory and estimates for linear and nonlinear elliptic equations, with applications to variational problems and to nonlinear systems. A Chang will lecture on applications of elliptic PDE to conformal geometry and other geometric problems.
Show All Collapse Aug 11, 2005
Thursday09:15 AM - 10:30 AMWomen in Mathematics: An Introduction to the Elliptic Partial Differential Equations-I
Lawrence Evans (University of California, Berkeley)10:45 AM - 12:00 PMWomen in Mathematics: Elliptic PDE Problems in Geometry-I
Sun-Yung Alice Chang (Princeton University)01:15 PM - 02:30 PMWomen in Mathematics: An Introduction to the Elliptic Partial Differential Equations-II
02:30 PM - 03:45 PMWomen in Mathematics: Elliptic PDE Problems in Geometry-II
Sun-Yung Alice Chang (Princeton University)Aug 12, 2005
Friday09:00 AM - 10:00 AMOn Geometric Spectral Invariant: The "Trace" of Laplace Inverse.
Jean Steiner10:15 AM - 10:50 AMPrescribing Curvature Forms
Shirley Yap11:00 AM - 11:35 AMOn the Beltrami Equation and $$\mu$$-Homeomorphisms
Melkana Brakalova01:15 PM - 02:30 PMPartial Regulation For Elliptic Systems.
02:30 PM - 03:05 PMThe Shapiro-Lopatinskij Condition for Elliptic Boundary Value Problems.
Katya Krupchyk03:10 PM - 03:45 PMCoupled Singular Perturbations for Phase Transitions
Cristina Popovici04:15 PM - 05:30 PMWomen in Mathematics: Elliptic PDE Problems in Geometry-III
Sun-Yung Alice Chang (Princeton University) -
Summer Graduate School CR Geometry: Complex Analysis Meets Real Geometry and Number Theory
John D’AngeloShow All Collapse Jul 25, 2005
Monday09:00 AM - 10:00 AMProper Holomorphic Mappings and CR Geometry.
John D'Angelo (University of Illinois at Urbana-Champaign)10:30 AM - 11:30 AMSome Open Problems Concerning Proper Holomorphic Mappings.
John D'Angelo (University of Illinois at Urbana-Champaign)Jul 26, 2005
Tuesday09:00 AM - 10:00 AMGroup Invariant Proper Maps.
John D'Angelo (University of Illinois at Urbana-Champaign)10:30 AM - 11:30 AMLocal CR Embeddings Into Spheres.
Peter EbenfeltJul 27, 2005
Wednesday09:00 AM - 10:00 AMLevi Non-degenerate Hypersurfaces.
Peter Ebenfelt10:30 AM - 11:30 AMProper Maps When the Image Dimension is Large. (A.K.A.: Directions to Alice's Restaurant)
Dror VarolinJul 28, 2005
Thursday09:00 AM - 10:00 AMHermitian Algebraic Functions and Catlin-D'Angelo Theorem.
Dror Varolin10:30 AM - 11:30 AMThe Bergman Kernal and Scaling Methods in n -Dimensional Complex Space.
Jeff McNeal (Ohio State University)Jul 29, 2005
Friday09:00 AM - 10:00 AMDiscussion
John D'Angelo (University of Illinois at Urbana-Champaign)10:30 AM - 11:30 AMDiscussion on Primality Properties of Group Invariant Maps.
John D'Angelo (University of Illinois at Urbana-Champaign)Aug 01, 2005
Monday09:00 AM - 10:00 AMRigidity Problems in CR Analysis: Survey.
Xiaojun Huang10:30 AM - 11:30 AMRigidity Problems in CR Analysis: Survey II.
Xiaojun HuangAug 02, 2005
Tuesday09:00 AM - 10:00 AMComplexification, Segrevarieties, and the X-Variety.
Bernhard Lamel10:30 AM - 11:30 AMVolumes of Holomorphic Images of Balls.
John D'Angelo (University of Illinois at Urbana-Champaign)Aug 05, 2005
Friday09:00 AM - 10:00 AMCR Geometry -1st Lecture.
John D'Angelo (University of Illinois at Urbana-Champaign)10:30 AM - 11:30 AMCR Geometry -2nd Lecture.
John D'Angelo (University of Illinois at Urbana-Champaign)
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