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
15/09/2026, 10.30, Sala S, Deparment of Mathematics "G. Peano" , Università di Torino,
A complex hyperkähler extension of the Weil-Petersson metric
Abstract: It is a classical fact that Teichmüller space, which parametrizes hyperbolic metrics on closed oriented surfaces of genus at least two, carries the structure of a smooth manifold together with a natural Kähler metric: the Weil-Petersson metric. Through its alternative interpretation as a space of representations into the isometry group of the hyperbolic plane, Teichmüller space can be viewed as part of broader moduli spaces, which are likewise described in terms of representations into more general Lie groups. The aim of this seminar is to explain how certain natural (para-)hyperkähler metrics on these moduli spaces arise as restrictions of a complex hyperkähler metric defined on a larger ambient space in which they naturally sit. In the remaining part of the seminar, we will outline the proof of the main result, emphasizing the principal tools involved. This is joint work with Christian El Emam, Filippo Mazzoli, Andrea Seppi and Andrea Tamburelli.
FORTHCOMING TALKS
06/10/2026, 14.30, Aula 1, Deparment of Mathematics "G. Peano", Dott. Enrico Trebeschi.
20/10/2026, 10. 30, Sala S, Deparment of Mathematics "G. Peano" , Dott. Aaron J. Tyrrell.