Special Session 97: 

The type problem and geometric structures on hyperbolic surfaces

Ara Basmajian
City University of New York
USA
Co-Author(s):    Hrant Hakobyan and Dragomir Saric
Abstract:
We describe new results involving the relationship between Fenchel-Nielsen coordinates and a version of the classical type problem (whether or not the surface carries a Green`s function). In particular, we study so called tight flute surfaces- possibly incomplete hyperbolic surfaces constructed by linearly gluing infinitely many tight pairs of pants along their cuffs- and the relationship between their type and geometric structure. This is joint work with Hrant Hakobyan and Dragomir Saric.