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Schedule, Notes/Handouts & Videos

Geometric Aspects of Spectral Theory March 12, 2001 - March 16, 2001

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Mar 12, 2001
Monday
09:30 AM - 11:00 AM
  The mapping torus of a symplectic mapping
Victor Guillemin (Massachusetts Institute of Technology)
11:00 AM - 01:30 PM
  Singular Bohr-Sommerfeld rules
Yves Colin de Verdière
01:30 PM - 02:40 PM
  Singular scenarios for 2-D and 3-D incompressible fluids
Charles Fefferman (Princeton University)
02:40 PM - 04:00 PM
  Perturbation theory for infinite dimensional integrable systems on the line
Percy Deift (New York University, Courant Institute)
04:00 PM - 05:00 PM
  Equivariant zeta functions and conformal geometry
Bent Ørsted
Mar 13, 2001
Tuesday
09:30 AM - 11:00 AM
  Spectral issues in geometric variational problems
Richard Schoen (Stanford University)
11:00 AM - 01:30 PM
  A fully non-linear equation in conformal geometry and some applications
Matthew Gursky (University of Notre Dame)
01:30 PM - 02:40 PM
  Collapsing and Dirac-Type Operators
John Lott (University of California, Berkeley)
02:40 PM - 04:00 PM
  Towards a spectral theory of stratified spaces
Jochen Bruning
04:00 PM - 05:00 PM
  The inverse spectral problem for analytic plane domains
Steven Zelditch (Northwestern University)
Mar 14, 2001
Wednesday
09:30 AM - 11:00 AM
  Equivariant de Rham torsions
Jean-Michel Bismut (Université de Paris XI)
11:00 AM - 01:30 PM
  Equivariant holomorphic torsion and arithmetic geometry
Kai Koehler
01:30 PM - 02:40 PM
  The eta invariant as a determinant
Richard Melrose (Massachusetts Institute of Technology)
02:40 PM - 04:00 PM
  Spectral zeta functions
Katherine Okikiolu (Johns Hopkins University)
04:00 PM - 05:00 PM
  An index theorem for Toeplitz operators on manifolds with boundary
Weiping Zhang
Mar 15, 2001
Thursday
09:30 AM - 09:30 AM
  Canonical metrics and Bott-Chern classes
Gang Tian (Princeton University)
09:30 AM - 09:30 AM
  Geodesic laminations on the two-sphere and Index bounds
Tobias Colding (Massachusetts Institute of Technology)
10:30 AM - 10:30 AM
  Finiteness of Kleinian groups in space
Jie Qing (University of California, Santa Cruz)
10:30 AM - 10:30 AM
  Supersymmetry and spectral theory of random Schroedinger operators
Wei-Min Wang
01:30 PM - 02:30 PM
  Spectral theory for Dirac operators on manifolds with fibred cusps & applications
Werner Mueller
01:30 PM - 02:20 PM
  Spectral theory for Dirac operators on manifolds with fibred cusps & applications
Werner Müller
Mar 16, 2001
Friday
09:00 AM - 10:20 AM
  Arithmetic genera
Christophe Soulé
10:20 AM - 11:30 AM
  Higher eta invariants and metrics of positive scalar curvature
Paolo Piazza (Università di Roma "La Sapienza'')
11:30 AM - 12:30 PM
  L-4 norms of eigenfunctions
Peter Sarnak (Princeton University)
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