Analysis and PDE Seminar Homepage, Winter 2010
Location: Room 383N.
Time: Wednesdays, 3-4pm, or 4-5pm if the geometry seminar does not meet.
From Spring 2010:
- Wednesday, January 6, 3-4pm, Room 383N (joint with Applied Math):
Alex Kiselev -- cancelled
- Tuesday, January 19, 1-2pm, Room 383N (joint with Geometry):
Igor Rodnianski (Princeton)
``Focusing and formation of trapped surfaces in General
- Wednesday, January 27, 4-5pm, Room 383N (joint with Geometry):
Richard Melrose (MIT)
``Resolution and Compactification of Moduli and configuration spaces''
Abstract: In this talk I will describe some of the significant
properties of three compact manfolds with corners obtained, respectively,
as the resolution of a group action (joint work with Pierre Albin), the
asymptotic configuration space for a vector space and the
compactified moduli space of magnetic monopoles (joint work with Michael
Singer). I will not have time to discuss these constructions in any
detail but intend instead to emphasize their common, particularly their
iterative, features and how these can be expected to appear elsewhere.
- Wednesday, February 17, 3-4pm, Room 383N:
Neil Trudinger (ANU)
``On weak solutions of Monge-Ampere type problems and their
Wednesday, March 10, 2-3pm and 4-5pm, Bay Area Microlocal Analysis Seminar
Galina Perelman (École Polytechnique and CNRS)
``Vey theorem in infinite dimensions and its application to the KdV equation''
Abstract. We develop an infinite dimensional version of the Vey theorem
and apply it to construct the Birkhoff coordinates for the KdV equation
in the vicinity of the origin in L_0^2(S^1). The obtained integrating
transformation has the form "identity plus a 1-smoothing map".
This is a joint work with S.Kuksin.
Andrew Hassell (ANU)
``Quasi-orthogonality of boundary values of eigenfunctions''
Abstract: Consider Dirichlet eigenfunctions for a smooth bounded plane
The normal derivatives of these eigenfunctions are known, at least
to be "quasi-orthogonal" when the eigenvalues are sufficiently close. I will
a new result -- with a remarkably simple proof -- expressing this
and apply it to give sharp theoretical bounds on the accuracy of the "method
of particular solutions" for numerically computing such eigenfunctions and
This is joint work with Alex Barnett (Dartmouth).
- Wednesday, March 31, 3:15-4:15pm, Room 380W:
Simeon Reich (Technion)
``Integral solutions to a class of nonlocal evolution equations''
Here is a link to the abstract.
Monday, May 24, Bay Area Microlocal Analysis Seminar at Berkeley, in
André Martinez (Bologna)
``Some new results on the width of quantum resonances''
and, at 4:10pm:
Andras Vasy (Stanford)
``Wave propagation on asymptotically De Sitter and Anti-de Sitter spaces''
Abstract: In this talk I describe the asymptotics of solutions of the wave
equation on asymptotically De Sitter and Anti-de Sitter spaces. This is part
of a larger program to analyze hyperbolic equations on non-product,
non-compact manifolds, similarly to how various types of `ends' have been
studied for the Laplacian and other elliptic operators on Riemannian
manifolds. The AdS setting is particularly interesting from the point of
view of propagation phenomena, since for the conformally related incomplete
metric, there are null-geodesics which are tangent to the boundary.
Alexander Gamburd (UC Santa Cruz)
``Infinite volume generalization of Selberg's 3/16 Theorem''