Workshop on
spectral geometr
y

March 4 - 6, 2004

Centre de recherches mathématiques,
Université de Montréal
Montréal, Qc Canada

Organizer: Iosif Polterovich (Montréal)

français

Relations between the geometric properties of manifolds and the spectrum of the Laplacian have been actively studied for decades. It is well known that many important geometric invariants are determined by the spectrum, and, vice-versa, the behavior of eigenvalues is strongly dependent on the underlying geometry and topology. Still, our understanding of the interplay between geometry and the spectrum is very far from being complete. In the recent years some major developments have occurred in various areas of spectral geometry, such as spectral asymptotics, eigenvalue estimates, isospectrality, and others. These problems and their applications will be in the focus of the workshop.

We wish to acknowledge The National Science Foundation (NSF) for their contribution (NSF grant DMS-0339017).

Confirmed participants

Mark S. Ashbaugh (Missouri), Jean-Marc Bouclet (Lille 1) (*), Maxim Braverman (Northeastern), Jochen Brüning (Humboldt) (*), Leonid Friedlander (Arizona), Peter B. Gilkey (Oregon), Dmitri Gioev (Pennsylvania) (*), Carolyn S. Gordon (Dartmouth College), Michael Hitrik (UCLA), Victor Ivrii (Toronto), Michael Levitin (Heriot-Watt), Eran Makover (Connecticut College), Dan Mangoubi (Technion), Rafe Mazzeo (Stanford) (*), Peter A. Perry (Kentucky), Steve Zelditch (Johns Hopkins) (*)

(*) To be confirmed

February 25, 2004, webmaster@CRM.UMontreal.CA