**Contemporary Mathematics**

Volume: 387;
2005;
275 pp;
Softcover

MSC: Primary 58; 53; 37;
Secondary 11; 20; 55

Print ISBN: 978-0-8218-3710-8

Product Code: CONM/387

List Price: $92.00

Individual Member Price: $73.60

**Electronic ISBN: 978-0-8218-7977-1
Product Code: CONM/387.E**

List Price: $92.00

Individual Member Price: $73.60

# Geometry, Spectral Theory, Groups, and Dynamics

Share this page *Edited by *
*Michael Entov; Yehuda Pinchover; Michah Sageev*

A co-publication of the AMS and Bar-Ilan University

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.

#### Table of Contents

# Table of Contents

## Geometry, Spectral Theory, Groups, and Dynamics

- Contents v6 free
- Preface vii8 free
- List of participants ix10 free
- Programs xi12 free
- On the Mathematical Work of Robert Brooks 120 free
- Moduli Spaces of Homotopy Theory 3756
- K-regular Graphs and Hecke Surfaces 6584
- Isospectrality and Spectral Rigidity of Surfaces with Small Topology 7594
- Topics in Isoperimetric Inequalities 89108
- Hidden Symmetries and Arithmetic Manifolds 111130
- Variants of the 3N + 1 Conjecture and Multiplicative Semigroups 121140
- Energy Capacity Inequalities via an Action Selector 129148
- On Non-Bounded Generation of Discrete Subgroups in Rank-1 Lie Group 153172
- Isospectral and Isoscattering Manifolds: A Survey of Techniques and Examples 157176
- Filling Area Conjecture, Optimal Systolic Inequalities, and the Fiber Class in Abelian Covers 181200
- An Invitation to Deninger's Work on Arithmetic Zeta Functions 201220
- Some More Non-Arithmetic Rigid Groups 237256
- On Domain Monotonicity for the Principal Eigenvalue of the Laplacian with a Mixed Dirichlet-Neumann Boundary Condition 245264
- The Sharp Form of the Strong Szegö Theorem 253272

#### Readership

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