$G_2$-instantons on nilpotent Lie groups

Viviana del Barco (Unicamp)

17-Nov-2023, 17:00-18:00 (8 months ago)

Abstract: In this talk we will discuss recent advancements on G$_2$-instantons on 7-dimensional 2-step nilpotent Lie groups endowed with a left-invariant coclosed G$_2$-structures. I will present necessary and sufficient conditions for the characteristic connection of the G$_2$-structure to be an instanton, in terms of the torsion of the G$_2$-structure, the torsion of the connection and the Lie group structure. These conditions allow to show that the metrics corresponding to the G$_2$-instantons define a naturally reductive structure on the simply connected 2-step nilpotent Lie group with left-invariant Riemannian metric. This is a joint work with Andrew Clarke and Andrés Moreno.

differential geometry

Audience: researchers in the topic

( paper )

Geometry Webinar AmSur /AmSul

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