Geometry Seminar
Hitchin-Ngô Lab Seminar - Pseudo-Kähler geometry of Hitchin representations in PSL(3,R)
Speaker: Andrea Tamburelli (Università di Pisa)Date: Monday, 19 October 2026 - 10:00-11:00Place: Aula Naranja, ICMAT
Abstract:
It is classically known that the Teichmüller space of a smooth, closed, oriented surface of genus g>1 is a ball of dimension 6g-6, which can be endowed with a Kahler metric, the Weil-Petersson metric, defined in terms of holomorphic quadratic differentials on the surface. In this talk, we will see how such a metric has a natural pseudo-Kahler extension on the Hitchin component for SL(3,R), in which the Teichmüller space embeds totally geodesically. The construction is based on the geometry of equivariant affine spheres and provides an alternative approach to the recent work of Collier-Toulisse-Wentworth for the SL(3,R) Hitchin component. Joint work with Nicholas Rungi.
