Analysis and PDE Seminar Homepage, Autumn 2007

Location: 383N (seminar room)

Time: Wednesdays 3-4pm or 4-5pm.

• Wednesday, October 3, 4pm:

  Leo Tzou (Stanford University):

  ``Recovering Multiple Coefficients in Inverse Problems''

  See the announcement for the abstract.

• Wednesday, October 24, 4pm:

  Gunther Uhlmann (University of Washington):

  ``Invisibility and singular transformations''

  Abstract: We describe recent constructions based on singular transformations on how to make objects invisible to electromagnetic waves.

• Monday, October 29, 3-5pm, first ever Bay Area Microlocal Analysis Seminar.

  3pm, Room 383N

  Daniel Tataru (University of California, Berkeley)

  ``Global energy solutions for the KP-I equation''

  Abstract: The KP-I equation is an asymptotic model for the propagation of long small amplitude dispersive surface waves with weak transversal effects and large surface tension. Using a multiscale analysis we prove that this equation is globally well-posed in the energy space. This is joint work with Alexandru Ionescu and Carlos Kenig.

  and 4:10pm, Room 381T

  Francis Nier (Université de Rennes)

  ``LLL functional for Bose-Einstein condensates''

• Wednesday, November 7, 3pm:

  Maciej Zworski (University of California, Berkeley):

  ``Soliton motion in external fields''

• Wednesday, November 14, 3pm:

  Colin Guillarmou (Nice):

  ``Wave decay for hyperbolic manifolds''

• Wednesday, December 5, Bay Area Microlocal Analysis Seminar at Berkeley, Room 105 in Stanley Hall:

  Colin Guillarmou (Nice):

  ``Strichartz estimates for a class of hyperbolic systems''

  Abstract: We discuss the problem of having (or not) a loss in Strichartz estimates in the setting of manifolds with non-empty hyperbolic trapped set. This is joint work with N. Burq and A. Hassell.

  and

  Rafe Mazzeo (Stanford):

  ``Polyhedra, iterated edges and the Stoker conjecture''

  Abstract: I will discuss recent progress on some analytic problems on spaces with iterated edge singularities, with a focus on geometric applications, especially to an old conjecture by J.J. Stoker on convex hyperbolic polyhedra.