15 dec 2020 -- 16:00
Geometry in Como - Online
The talk will take place on Microsoft Teams. Please write to giovanni.bazzoni@uninsubria.it if you'd like to be added to our mailing list.
Abstract.
$G_2$ manifolds constitute a class of Einstein seven-manifolds and are of substantial interest both in Riemannian geometry and theoretical physics. At present a vast number of compact $G_2$ manifolds is known to exist. In this talk I will discuss a gauge-theoretic approach to the construction of invariants of compact $G_2$ manifolds. I will focus on an interplay between gauge theories in dimensions 7 and 3 and how this can be used for the construction of the invariants.