Welcome to the website of the seminar organized by the Differential Geometry groups of Università di Torino and Politecnico di Torino.
For any information, please send an e-mail to dgseminar.torino@gmail.com.
The talks will take place either at the Deparment of Mathematics "G. Peano" (Università di Torino) or at the Department of Mathematical Sciences "G.L. Lagrange" (Politecnico di Torino).
NEXT TALK
24/02/2026, 14.30, Sala S, Department of Mathematics "G. Peano" , Università di Torino.
The symplectic geometry of branched hyperbolic structures
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 Arnaud Maret.
FORTHCOMING TALKS
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