Wednesday 19 November 2025 at 4:45 pm, as part of the Insalate di Matematica seminar cycle, Giorgia Petracci (University of Insubria) will give the following talk
Title: Purely coclosed G₂-structures on nilmanifolds
Abstract: A G₂-structure on a 7-dimensional manifold M is equivalent to the existence of a globally defined positive 3-form. This form determines an orientation and a Riemannian metric on M. Given an orientation and a Riemannian metric, one can define an isomorphism between the spaces of 3-forms and 4-forms on M, called the Hodge operator. Thanks to the Hodge operator, one can define purely coclosed G₂-structures. We study left-invariant G₂-structures on nilmanifolds, which are compact quotients of connected, simply connected nilpotent Lie groups by a lattice.
Keywords: G₂-structures, Principal bundles, Nilmanifolds, Lie groups, Differential forms
Information to attend
The seminar will be held in Room U9-09 (U9 Building - Viale dell'Innovazione 10, Milan) and will also be available online by this link (password: insalate, 46725283 from phones).
For more information, visit the website