Contemporary Mathematics 2005; 275 pp; softcover Volume: 387 ISBN10: 0821837109 ISBN13: 9780821837108 List Price: US$92 Member Price: US$73.60 Order Code: CONM/387
 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 BarIlan University. Readership 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  Kregular 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 nonbounded generation of discrete subgroups in rank1 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 nonarithmetic rigid groups
 R. G. Pinsky  On domain monotonicity for the principal eigenvalue of the Laplacian with a mixed DirichletNeumann boundary condition
 B. Simon  The sharp form of the strong Szegő theorem
