Rinat Kashaev

"Coordinates for the moduli space of  flat $PSL(2,R)$-connections"

Abstract: Let $M$ be the moduli space of irreducible flat $PSL(2,R)$ connections
on a punctured surface of finite type with parabolic holonomies around punctures.
By using a notion of admissibility of an ideal arc, $M$ can be covered by dense
open subsets associated to ideal triangulations of the surface. I will discuss a
construction of a principal bundle over $M$ which, when restricted to the
Teichmueller component of $M$, is isomorphic to the decorated Teichmueller space
of Penner.