Growth and Mahler measures in geometry and topology

Growth and Mahler measures in geometry and topology

01 July - 05 July 2013

Organizing committee

Eriko Hironaka, Florida State University
Ruth Kellerhals, Université de Fribourg


Participants Presentation

The goal of the workshop is to bring together geometers, topologists and number theorists with the aim of exploring connections between low-dimensional geometry and topology and number theory. In the focus are topics such as growth of fundamental groups of low-dimensional space forms, cohomological torsion growth,entropy of surface automorphisms, geometry of Teichmüller space, Mahler measures of A-polynomials and volumes of hyperbolic knots and manifolds. Closely related are developments in quantum topology and quantum knot invariants.

Key words: Growth, Mahler measure; hyperbolic manifolds; mapping class theory;
Teichmüller theory, knot polynomials; Betti numbers, hyperbolic volume; Salem numbers, Lehmers problem

Participation and presentations by invitation only.