Geometry, Topology And Dynamics Of Character Varieties

This volume offers a comprehensive introduction to character varieties, covering hyperbolic structures and various mathematical applications for students and researchers.

The volume Geometry, Topology And Dynamics Of Character Varieties is derived from lectures presented during a successful three-week Summer School held at the National University of Singapore's Institute for Mathematical Sciences in July 2010. It serves as an essential resource for both students and researchers who are delving into the intricate topics of geometry, topology, and the dynamics associated with character varieties. The content is particularly beneficial for graduate students embarking on their research journeys, providing a comprehensive introduction to subjects that are often only available in specialized literature.

This book encompasses a wide range of topics, including hyperbolic structures on surfaces and their degenerations. It also explores the applications of ping-pong lemmas across various contexts, offering insights into Lorenzian and complex hyperbolic geometry. Additionally, it delves into representation varieties of surface groups into PSL(2, ℝ) and other semi-simple Lie groups. These discussions are designed to enhance the reader's understanding of the mathematical landscape surrounding character varieties and their applications.

Geometry, Topology And Dynamics Of Character Varieties is not just a collection of articles; it is an edited and refereed compilation that stands as a valuable portal into a vibrant and multi-faceted area of mathematics. By engaging with this volume, readers will gain exposure to contemporary research and methodologies that are pivotal in advancing their knowledge and expertise in the field.