Complex Manifolds and Hyperbolic Geometry: II Iberoamerican Congress on Geometry, January 4-9, 2001, CIMAT, Guanajuato, Mexico

This volume derives from the second Iberoamerican Congress on Geometry, held in 2001 in Mexico at the Centro de Investigacion en Matematicas 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 Teichmuller 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, Teichmuller spaces, and quasiconformal maps. Complex geometry has many applications - triangulations 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 Teichmuller spaces will find a selection of strong papers by international experts.

Table of Contents:
Self-maps of ${\mathbb P}^2$ with invariant elliptic curves by A. M. Bonifant and M. Dabija Pants decompositions and the Weil-Petersson metric by J. F. Brock Dihedral groups acting on Jacobians by A. Carocca, S. Recillas, and R. E. Rodriguez Schwarz's lemma and Teichmuller contraction by C. J. Earle Barycentric extension and the Bers embedding for asymptotic Teichmuller space by C. J. Earle, V. Markovic, and D. Saric Symmetric rigidity for real polynomials with real critical points by A. L. Epstein On theta constant identities and the evaluation of trigonometric sums by H. M. Farkas and I. Kra On the genus of a random Riemann surface by A. Gamburd and E. Makover Earthquake curves by F. P. Gardiner, J. Hu, and N. Lakic Efficient smooth quasiconformal mappings by F. P. Gardiner and N. Lakic The Ehrenpreis conjecture and the moduli-rigidity gap by T. M. Gendron Word sequences and intersection numbers by J. Gilman and L. Keen A law of conservation of number for local Euler characteristics by L. Giraldo and X. Gomez-Mont On families of algebraic curves with automorphisms by G. Gonzalez-Diez and W. J. Harvey Real surfaces, Riemann matrices and algebraic curves by R. A. Hidalgo Approximation by meromorphic quadratic differentials by N. Lakic and S. Mitra On the topology of classical Schottky space by B. Maskit Hyperbolic lego and algebraic curves in genus 2 and 3 by R. Silhol The Margulis region and continued fractions by P. Susskind.