SMS scnews item created by Catherine Meister at Mon 23 Feb 2026 1159
Type: Seminar
Distribution: World
Expiry: 9 Mar 2026
Calendar1: 25 Feb 2026 1200-1300
CalLoc1: SMRI Seminar Room (A12 Macleay Room 301)
Auth: cmeister@10.136.117.223 (cmei0631) in SMS-SAML

Geometry and Topology Seminar: Maret

The symplectic geometry of branched hyperbolic structures

Arnaud Maret, Université de Strasbourg,

Geometry and Topology Seminar, Wednesday 25th February January 2026, 12 pm – 1 pm, SMRI Seminar Room (A12 Macleay Room 301)

Abstract: Hyperbolic geometry is one of the most iconic geometries studied on surfaces. When conical singularities at certain points are allowed, whose angles are integer multiples of 2π, one obtains branched hyperbolic structures. An important problem, proposed by Goldman, is to determine which surface group representations arise as holonomies of branched hyperbolic structures. In this talk, I will focus on the case of genus-2 surfaces and explain how to construct Fenchel--Nielsen (i.e. Darboux) coordinates on the space of holonomies of these branched hyperbolic structures. This is joint work with Gianluca Faraco.