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SUMMARY:Gavin Ball (Université du Québec à Montréal)
DTSTART:20200729T150000Z
DTEND:20200729T160000Z
DTSTAMP:20260423T052755Z
UID:VSGS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/VSGS/8/">Qua
 dratic closed G2-structures</a>\nby Gavin Ball (Université du Québec à 
 Montréal) as part of Virtual seminar on geometry with symmetries\n\n\nAbs
 tract\nI will talk about closed G2-structures satisfying the quadratic con
 dition\, a second-order PDE system introduced by Bryant involving a parame
 ter. For particular special values of the parameter\, the quadratic condit
 ion is equivalent to the Einstein equation\, the extremally Ricci-pinched 
 (ERP) condition\, and the eigenform condition. I will describe my recent e
 xistence and classification results about these structures\, including the
  first example of a complete inhomogeneous ERP G2-structure\, a new compac
 t ERP G2-structure\, and the first examples of solutions to this PDE syste
 m for certain values of the parameter. If time permits\, I will describe a
  related construction of complete inhomogeneous gradient solitons for the 
 G2 Laplacian flow.\n
LOCATION:https://researchseminars.org/talk/VSGS/8/
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