PIMS Differential Geometry and Analysis Summer School
August 13 - August 17, 2007
University of Washington
Department of Mathematics
Seattle, WA 98195
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PIMS Differential Geometry and Analysis Summer School August 13 - August 17, 2007 |
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University of Washington |
Robert Hardt
Rice University
"Some Basic Results of Geometric Measure
Theory in a Metric Space "
Here we will develop and discuss notions of
differentiability, area, co-area, rectifiable sets,
measures, and currents, as well as flat chains with
coefficient in a normed abelian group, in the context of a
metric space. We will outline the proof of the basic
rectifiability theorems and applications to the Plateau
problem of mass-minimization.(first considered by
H.Federer and W.Fleming in 1960). We will combine some of
the techniques of L.Ambrosio-B.Kirchheim (2000) on
currents in a metric space with those of B.White (1999) on
chains with group coefficients and also introduce some new
notions occuring in current work with T. De Pauw.
Click here for
references for these lectures.
10:45--12 MTWTh Aug 13--16 Padelford C-36
Richard M. Schoen
Stanford University
"Riemannian Manifolds of Positive Curvature"
In these lectures we will describe geometric PDE methods of studying
manifolds of positive curvature for a variety of notions of positivity. The two
basic methods on which we will focus will be the theory of minimal submanifolds
and second variation of volume, and the Ricci flow. We will discuss the PIC
condition introduced by Micallef and Moore, and present our recent proof (joint
with S. Brendle) of the differentiable sphere theorem for manifolds with
positive 1/4-pinched curvature.
Click here for
references for these lectures.
9--10:15 MTWTh Aug 13--16 Padelford C-36
Qing Han
University of Notre Dame
"Lecture 1: Local isometric embedding of 2-dim
Riemannian manifolds in R^3"
2--3 M Aug 13 SMI 309
"Lecture 2: Global isometric embedding of 2-dim
Riemannian manifolds in R^3"
2--3 T Aug 14 SMI 309
More information:
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UW Department of Mathematics
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student housing on campus--McCarty Hall
Getting to
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Other
information for visitors
There is limited financial support available for graduate students and postdocs. For further information about the PIMS Differential Geometry and Analysis Summer School, email (yuan@math.washington.edu).
The University of Washington is committed to providing access, equal opportunity and reasonable accommodation in its services, programs, activities, education and employment for individuals with disabilities. To request disability accommodation contact the Disability Services Office at least ten days in advance at: 206-543-6450/V, 206-543-6452/TTY, 206-685-7264 (FAX), or dso@u.washington.edu.