Closed G2-structures on unimodular with non-trivial center Lie groups

Abstract: Closed $G_2$-structures arise as a natural generalization of torsion-free $G_2$-structures on seven-dimensional smooth manifolds. In this talk, I shall focus on Lie groups with non-trivial

center endowed with a left-invariant closed $G_2$-structure. After highlighting the relation with six-dimensional geometry, I shall present a classification result in the unimodular case as well as new compact examples. Results about Laplacian solitons, which correspond to self-similar solutions of the $G_2$-Laplacian flow introduced by Bryant, are also included. This is joint work with A. Fino and A. Raffero.

Mathematics

Audience: researchers in the topic

Geometry Seminar - University of Florence

Series comments: If you are interested in attending, please send a message to daniele.angella@unifi.it or francesco.pediconi@unifi.it.