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Geometric Scattering Theory and Elliptic Theory on Noncompact and Singular Spaces
May 7, 2001 to May 11, 2001

Organizer(s)

Tanya Christiansen, Charles Epstein, Rafe Mazzeo, Richard Melrose
To apply for funding, you must register by Mon, Mar 26 2001.

Registration Deadline

Fri, May 11 2001

Contact

13@msri.org
As part of the Spring 2001 program on Spectral Invariants, MSRI will host a one-week workshop on Geometric Scatttering Theory and Elliptic Theory on Noncompact and Singular Spaces.

This workshop will focus on problems of a scattering theoretic nature for geometric operators on manifolds with asymptotically regular geometries, and also on spectral theory and related questions of invertibility of such operators on singular spaces. The emphasis will be on the consideration of new problems and the dissemination of new techniques.



Topics will include:


  • scattering theory on manifolds with geometric structure at infinity
  • scattering theory in the presence of stratified media
  • propagation of singularities for solutions of the wave equation on the complement of obstacles with singularities
  • the asymptotic distribution of resonances, and connections with the geometry at infinity
  • L^2 and Hodge cohomology for complete and singular spaces
  • index and elliptic theory on manifolds with corners and on stratified spaces
  • index theory for non-classically elliptic operators, e.g. sub-elliptic operators in the Heisenberg calculus
  • index theory for Fourier integral operators
  • behaviour of global spectral-theoretic invariants under various types of geometric degeneration
  • nonlinear elliptic asymptotic boundary problems


FUNDING APPLICATION DEADLINE: March 26, 2001                      

Funding

To apply for funding, you must register by Mon, Mar 26 2001. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

Important

Parent Program(s):
Spectral Invariants


Questions about this workshop should be sent either by email to
13@msri.org

or by regular mail to:
Geometric Scattering Theory and Elliptic Theory on Noncompact and Singular Spaces
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA

The Institute is committed to the principles of Equal Opportunity and Affirmative Action.



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