Growth and Mahler Measures in Geometry and Topology

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.