BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Viviana del Barco (Unicamp)
DTSTART:20231117T170000Z
DTEND:20231117T180000Z
DTSTAMP:20260314T080458Z
UID:AmSurAmSulGeometry/65
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/AmSurAmSulGe
 ometry/65/">$G_2$-instantons on nilpotent Lie groups</a>\nby Viviana del B
 arco (Unicamp) as part of Geometry Webinar AmSur /AmSul\n\n\nAbstract\nIn 
 this talk we will discuss recent advancements on G$_2$-instantons on 7-dim
 ensional 2-step nilpotent Lie groups endowed with a left-invariant coclose
 d 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\,\nthe torsion of the conn
 ection and the Lie group structure. These conditions allow to show that th
 e metrics corresponding to the G$_2$-instantons define a naturally reducti
 ve structure on the simply connected 2-step nilpotent Lie group with left-
 invariant Riemannian metric. This is a joint work with Andrew Clarke and A
 ndrés Moreno.\n
LOCATION:https://researchseminars.org/talk/AmSurAmSulGeometry/65/
END:VEVENT
END:VCALENDAR