Contemporary Mathematics 2002; 343 pp; softcover Volume: 311 ISBN10: 0821829572 ISBN13: 9780821829578 List Price: US$103 Member Price: US$82.40 Order Code: CONM/311
 This volume derives from the second Iberoamerican Congress on Geometry, held in 2001 in Mexico at the Centro de Investigación en Matemáticas A.C., an internationally recognized program of research in pure mathematics. The conference topics were chosen with an eye toward the presentation of new methods, recent results, and the creation of more interconnections between the different research groups working in complex manifolds and hyperbolic geometry. This volume reflects both the unity and the diversity of these subjects. Researchers around the globe have been working on problems concerning Riemann surfaces, as well as a wide scope of other issues: the theory of Teichmüller spaces, theta functions, algebraic geometry and classical function theory. Included here are discussions revolving around questions of geometry that are related in one way or another to functions of a complex variable. There are contributors on Riemann surfaces, hyperbolic geometry, Teichmüller spaces, and quasiconformal maps. Complex geometry has many applicationstriangulations of surfaces, combinatorics, ordinary differential equations, complex dynamics, and the geometry of special curves and jacobians, among others. In this book, research mathematicians in complex geometry, hyperbolic geometry and Teichmüller spaces will find a selection of strong papers by international experts. Readership Research mathematicians and graduate students in complex geometry, hyperbolic geometry and Teichmüller spaces. Table of Contents  A. M. Bonifant and M. Dabija  Selfmaps of \({\mathbb P}^2\) with invariant elliptic curves
 J. F. Brock  Pants decompositions and the WeilPetersson metric
 A. Carocca, S. Recillas, and R. E. Rodríguez  Dihedral groups acting on Jacobians
 C. J. Earle  Schwarz's lemma and Teichmüller contraction
 C. J. Earle, V. Markovic, and D. Saric  Barycentric extension and the Bers embedding for asymptotic Teichmüller space
 A. L. Epstein  Symmetric rigidity for real polynomials with real critical points
 H. M. Farkas and I. Kra  On theta constant identities and the evaluation of trigonometric sums
 A. Gamburd and E. Makover  On the genus of a random Riemann surface
 F. P. Gardiner, J. Hu, and N. Lakic  Earthquake curves
 F. P. Gardiner and N. Lakic  Efficient smooth quasiconformal mappings
 T. M. Gendron  The Ehrenpreis conjecture and the modulirigidity gap
 J. Gilman and L. Keen  Word sequences and intersection numbers
 L. Giraldo and X. GómezMont  A law of conservation of number for local Euler characteristics
 G. GonzálezDíez and W. J. Harvey  On families of algebraic curves with automorphisms
 R. A. Hidalgo  Real surfaces, Riemann matrices and algebraic curves
 N. Lakic and S. Mitra  Approximation by meromorphic quadratic differentials
 B. Maskit  On the topology of classical Schottky space
 R. Silhol  Hyperbolic lego and algebraic curves in genus 2 and 3
 P. Susskind  The Margulis region and continued fractions
