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SUMMARY:Alexei Kovalev (Cambridge University)
DTSTART:20240529T113000Z
DTEND:20240529T123000Z
DTSTAMP:20260416T021312Z
UID:PHK-cohomology-seminar/105
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/PHK-cohomolo
 gy-seminar/105/">On nearly parallel $G_2$-manifolds</a>\nby Alexei Kovalev
  (Cambridge University) as part of Prague-Hradec Kralove seminar Cohomolog
 y in algebra\, geometry\, physics and statistics\n\n\nAbstract\nA nearly p
 arallel $G_2$-structure on a 7-manifold can be given by a 3-form\n$\\phi$ 
 of special algebraic type satisfying a differential equation\n$d\\phi = \\
 tau^* \\phi$ for a non-zero constant $\\tau$. We consider\nnearly parallel
  $G_2$-structures on the Aloff--Wallach spaces and\non regular Sasaki--Ein
 stein 7-manifolds. We give a construction and\nexplicit examples of associ
 ative 3-folds (a particular type of minimal\nsubmanifolds) in these spaces
 .\n\nJoint work with M. Fernández\, A. Fino\, and V. Muñoz.\n
LOCATION:https://researchseminars.org/talk/PHK-cohomology-seminar/105/
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