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Geometry, Spectral Theory, Groups, and Dynamics
Edited by: Michael Entov, Yehuda Pinchover, and Michah Sageev, Technion - Israel Institute of Technology, Haifa, Israel
A co-publication of the AMS and Bar-Ilan University.

Contemporary Mathematics
2005; 275 pp; softcover
Volume: 387
ISBN-10: 0-8218-3710-9
ISBN-13: 978-0-8218-3710-8
List Price: US$92
Member Price: US$73.60
Order Code: CONM/387
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This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa).

Robert Brooks' (1952 - 2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and number theory. A survey of Brooks' work has been written by his close colleague, Peter Buser.

Also included in the volume are articles on analytic topics, such as Szegő's theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds.

The book is suitable for graduate students and researchers interested in various aspects of geometry and global analysis.

This book is copublished with Bar-Ilan University.


The book is suitable for graduate students and research mathematicians interested in various aspects of geometry and global analysis.

Table of Contents

  • P. Buser -- On the mathematical work of Robert Brooks
  • D. Blanc -- Moduli spaces of homotopy theory
  • R. Brooks and M. Monastyrsky -- K-regular graphs and Hecke surfaces
  • P. Buser and K.-D. Semmler -- Isospectrality and spectral rigidity of surfaces with small topology
  • I. Chavel -- Topics in isoperimetric inequalities
  • B. Farb and S. Weinberger -- Hidden symmetries and arithmetic manifolds
  • H. M. Farkas -- Variants of the \(3N+1\) conjecture and multiplicative semigroups
  • U. Frauenfelder, V. Ginzburg, and F. Schlenk -- Energy capacity inequalities via an action selector
  • K. Fujiwara -- On non-bounded generation of discrete subgroups in rank-1 Lie group
  • C. Gordon, P. Perry, and D. Schueth -- Isospectral and isoscattering manifolds: A survey of techniques and examples
  • M. G. Katz and C. Lescop -- Filling area conjecture, optimal systolic inequalities, and the fiber class in abelian covers
  • E. Leichtnam -- An invitation to Deninger's work on arithmetic zeta functions
  • A. Lubotzky -- Some more non-arithmetic rigid groups
  • R. G. Pinsky -- On domain monotonicity for the principal eigenvalue of the Laplacian with a mixed Dirichlet-Neumann boundary condition
  • B. Simon -- The sharp form of the strong Szegő theorem
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