Week of November 13 - November 15, 2002
Special
Lecture
Topic:
An Introduction to Quasiconvexity (Parts Parts III - VI, this is
a continuation of the lectures from November 12)
Presenter:
John Ball, Oxford University and IAS
Date:
Wednesday, November 13, 2002: Time: 9:00 a.m. and 11:00 a.m.,
Location: Fine Hall 1001
Abstract:
Quasiconvexity is the central convexity condition of the multi-dimensional
calculus of variations, but because of the lack of an adequate characterization
of quasiconvex functions it remains somewhat mysterious. The lectures
will cover the following topics: a) Definition and examples of quasiconvex
functions. Null Lagrangians and polyconvexity. Rank-one convexity.
b) Lower semicontinuity and existence of minimizers. Applications
to elasticity. Quasiconvexity in the interior and at the boundary
as necessary conditions for a minimizer. Partial regularity.
Relaxation. c) Quasiconvexity and gradient Young measures. Quasiconvex
sets of matrices. Relaxation and the passage from microscales to
macroscales. Examples involving finitely many matrices or energy
wells. Martensitic microstructure. d) Extensions and applications:
higher-order problems, homogenization, quasiregular maps...These lectures
precede the conference Quasiconvexity and its Appications (see http://www.mis.mpg.de/conferences/quasiconvexity2002/).
The lectures will be self-contained and assume as little background knowledge
as possible. However, some familiarity with Sobolev spaces and weak
convergence in Lp spaces will be an advantage.
1:30 p.m. and 3:00 p.m. Location: Fine Hall 322
Statistical Mechanics Seminar
Topic: The Scott correction to the energy of atoms via a new coherent state representation
Presenter: Bernhard Bodmann, Princeton University
Date: Wednesday, November 13, 2002, Time: 2:00 p.m., Location: Jadwin 343
Abstract:
In this talk a recent result by Solovej and Spitzer (math-ph/0208044) will
be outlined. They were able to give a new proof of the Scott correction
to the Thomas-Fermi energy asymptotics of large atoms, which is less technical
than the original one. Their method uses a generalized coherent-state
representation that they invented and which is potentially of general interest.
Department Colloquium
Topic: Partial differential equations methods for weak KAM theory
Presenter: Craig Evans, University of California at Berkeley
Date: Wednesday, November 13, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Abstract:
PDE theory provides weak solutions of certain nonlinear first-order equations
which, formally at least, induce simplifying changes of variables for Hamiltonian
dynamics. I will discuss an ongoing program to make some part of
this observation rigorous, and will in particular explain connections with
Mather's variational principle for Lagrangian dynamics and Fathi's ``weak
KAM'' theory.
Discrete Mathematics Seminar
Topic: The diversity of Graph Properties
Presenter: Mike Saks, Rutgers University
Date: Thursday, November 14, 2002, Time: 2:15 p.m., Location: Fine Hall 224
Abstract:
Please
click here to view abstract
Joint
Princeton University/IAS Number Theory Seminar
Topic:
Some problems on entire arithmetic functions
Presenter:
Jonathan
Pila, University of Melbourne and IAS
Date:
Thursday, November 14, 2002: Time: 4:30, Location: Fine
Hall 322
Topology
Seminar *** Please note change in time
Topic:
The Hyperbolic Solid Tube Parameter Space
Presenter:
Robert Meyerhoff, Boston College
Date:
Thursday, November 14, 2002: Time: 4:30p.m.,
Location: Fine Hall 314
Week
of November 18 - November 22, 2002
Analysis Seminar
Topic: Non-linear Fourier analysis and Scattering Transform in $L^2(\R)$.
Presenter: Christoph Thiele, UCLA
Date:
Monday, November 18, 2002, Time: 4:00 p.m., Location: Fine Hall 314
PACM Colloquium
Topic: An Eulerian Method for Multiphase Computations of the Schrodinger Equation
Presenter: Xiantao Li, PACM, Princeton University
Date: Monday, November 18, 2002, Time: 4:00 p.m., Location: Fine Hall 214
Abtract:
We present a new numerical method for the computation of the semiclassical
limits of the Schrodinger equation. We first use Wigner transform technique
to derive a Vlasov equation in the phase space, and then find its solution
in the multiphase regime. By taking moment closure, we obtain the
multiphase equations in the physical space. The numerical procedure follows
the solution of the Vlasov equation, but only operates in the physical
space, which offers great efficiency and simplicity. In addition, we will
show some other application of this technique, such as the multivalued
solutions of the Euler Poisson system in Klystron.
Algebraic Geometry Seminar
Topic: One dimensional families of Calabi-Yau threefolds
Presenter: Charles F. Doran, Columbia University
Date:
Tuesday, November 19, 2002, Time: 4:30 p.m., Location: Fine Hall 322
Statistical Mechanics Seminar
Topic: Semiclassical Statistical Physics
Presenter: Carlos Aragao, Universidade Federal do Rio de Janeiro
Date: Wednesday, November 20, 2002, Time: 2:00 p.m., Location: Jadwin 343
Abstract:
We will review the use of semiclassical path-integral methods in Statistical
Physics, with emphasis on applications to Quantum Statistical Mechanics
and Quantum Statistical Field Theory. We will present calculations of thermodynamic
quantities for the anharmonic oscillator in contact with a heat bath, for
interfaces in binary mixtures (or domain walls in magnetic systems) near
criticality, and for scalar fields at finite temperature.
Department Colloquium
Topic: Dimers and amoebas
Presenter: Andrei Okounkov, Princeton University
Date: Wednesday, November 20, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Abstract:
The amoeba of a plane complex curve is its image in the real plane under
the map that takes coordinates to the logarithms of their absolute values.
The dimer model on a planar graph is the study of all perfect matchings
(that is, ways to partition all vertices into pairs of neighbors) on that
graph. The dimer model has a long history in both mathematics and physics.
In this talk, based on joint work with Richard Kenyon and Scott Scheffield,
I will explain how to see amoebas in dimers.
Discrete Mathematics Seminar
Topic: The Phase Transition in the Biased Integer Partitioning Problem
Presenter: Jennifer Chayes, Microsoft Research
Date: Thursday, November 21, 2002, Time: 2:15 p.m., Location: Fine Hall 224
Abstract:
Please
click here to view abstract
Joint
Princeton University/IAS Number Theory Seminar
Topic:
TBA
Presenter:
Gautam
Chinta, Brown University
Date:
Thursday, November 21, 2002: Time: 4:30, Location:
Fine Hall 322
Topology
Seminar *** Please note change in time
Topic:
Link homology
Presenter:
Mikhail Khovanov, University of California at Davis
Date:
Thursday, November 21, 2002: Time: 4:30p.m.,
Location: Fine Hall 314
Geometric
Analysis Seminar
Topic:
A classification of conformally invariant differential operators on densities
Presenter:
Spyridon Alexakis, Princeton University
Date:
Friday, November 22, 2002, Time: 3:00 p.m., Location: Fine Hall 314
Week
of November 25 - November 29, 2002
Analysis
Seminar
Topic:
General relativity constraint equations : Their elliptic solution and their
hyperbolic conservation laws
Presenter:
James W. York, Cornell University
Date:
Monday, November 25, 2002, Time: 4:00 p.m., Location: Fine Hall 314
PACM
Colloquium
Topic:
TBA
Presenter:
Michael
Celia, Department of Civil and Environmental Engineering, Princeton
University
Date:
Monday, November 25, 2002, Time: 4:00 p.m., Location: Fine Hall 214
Week
of December 2 - December 6, 2002
Analysis Seminar
Topic: TBA
Presenter: Mihaela Iftime, Northeastern University
Date:
Monday, December 2, 2002, Time: 4:00 p.m., Location: Fine Hall 314
PACM Colloquium
Topic: TBA
Presenter: Natalia Berloff, University of Cambridge
Date:
Monday, December 2, 2002, Time: 4:00 p.m., Location: Fine Hall 214
Department Colloquium
Topic: $H^{1/2}$ with values into $S^1$ and the Ginzburg-Landau model in 3-d
Presenter: Haim Brezis, Rutgers University and Paris VI
Date: Wednesday, December 4, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Abstract:
Please
click here to view abstract
Discrete Mathematics Seminar
Topic: TBA
Presenter: Peter Winkler, Bell Labs
Date:
Thursday, December 5, 2002, Time: 2:15 p.m., Location: Fine Hall
224
Joint
Princeton University/IAS Number Theory Seminar
Topic:
TBA
Presenter:
Ling Long, IAS
Date:
Thursday, December 5, 2002: Time: 4:30, Location:
Fine Hall 322
Topology
Seminar *** Please note change in time
Topic:
Ending laminations and the classification of hyperbolic 3-manifolds
Presenter:
Yair Minsky, SUNY at Stonybrook
Date:
Thursday, December 5, 2002: Time: 4:30
p.m., Location: Fine Hall 314
Geometric
Analysis Seminar
Topic:
TBA
Presenter:
Andrea Malchiodi, IAS
Date:
Friday, December 6, 2002, Time: 3:00 p.m., Location: Fine Hall 314
Week
of December 9 - December 13, 2002
Analysis Seminar
Topic: TBA
Presenter: Vincent Moncrief, Yale University
Date:
Monday, December 9, 2002, Time: 4:00 p.m., Location: Fine Hall 314
Department Colloquium
Topic: TBA
Presenter: Ed Witten, Institute for Advanced Study
Date:
Wednesday, December 11, 2002, Time: 4:30 p.m., Location: Fine Hall 314
Discrete Mathematics Seminar
Topic: TBA
Presenter: Peter Keevash, Princeton University
Date:
Thursday, December 12, 2002, Time: 2:15 p.m., Location: Fine Hall
224
Joint
Princeton University/IAS Number Theory Seminar
Topic:
TBA
Presenter:
Yuval
Flicker, Ohio State University
Date:
Thursday, December 12, 2002: Time: 4:30, Location:
Fine Hall 322
Topology
Seminar *** Please note change in time
Topic:
Negative curvature and exotic smooth surfaces
Presenter:
Tom Farrell, State University of New York at Binghamton
Date:
Thursday, December 12, 2002: Time: 4:30p.m.,
Location: Fine Hall 314