Home /  Geometric Aspects of Spectral Theory


Geometric Aspects of Spectral Theory March 12, 2001 - March 16, 2001
Registration Deadline: March 16, 2001 over 23 years ago
To apply for Funding you must register by: December 12, 2000 over 23 years ago
Parent Program:
Organizers Jean-Michel Bismut, Tom Branson, S.-Y. Alice Chang and Kate Okikiolu

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This workshop will study the spectral theory of geometric operators, including: spectral invariants applications in conformal geometry classification of 4-manifolds index theory scattering theory The goal of this workshop is to encourage interaction among people working on these problems in partial differential equations, geometry, topology, harmonic analysis, number theory, representation theory, and probabilistic methods, and to assess future directions. Speakers will include: Victor Guillemin (MIT) John Lott (Michigan) Jie Qing (UC - Santa Cruz) Jean-Michel Bismut (Paris-Sud [Orsay]) Tom Branson (Iowa) Richard Melrose (MIT) Werner Müller (Bonn) Peter Sarnak (Princeton) Gang Tian (MIT) Steve Zelditch (Johns Hopkins) Jochen Brüning (Berlin) Charles Fefferman (Princeton) Matt Gursky (Indiana) Tobias Colding (NYU) Peter Li (UC - Irvine) Kate Okikiolu (UCSD) Percy Deift (UPenn) Paolo Piazza (Rome) Wei-Ming Wang (Paris-Sud [Orsay]) Kai Köhler (Bonn) Bent Ørsted (Odense) Paul Yang (USC) Colin de Verdiere (Grenoble) Christophe Soulé (IHES) Rick Schoen (Stanford)
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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To apply for funding, you must register by the funding application deadline displayed above.

Students, recent PhDs, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are typically made 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.

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For information about recommended hotels for visits of under 30 days, visit Short-Term Housing. Questions? Contact coord@slmath.org.

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Schedule, Notes/Handouts & Videos
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Mar 12, 2001
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
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
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
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
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)