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SUMMARY:Johannes Nordstrom (Bath)
DTSTART:20210415T120000Z
DTEND:20210415T130000Z
DTSTAMP:20260423T005759Z
UID:notts_ag/53
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/notts_ag/53/
 ">Extra-twisted connected sum $G_2$-manifolds</a>\nby Johannes Nordstrom (
 Bath) as part of Online Nottingham algebraic geometry seminar\n\n\nAbstrac
 t\nThe twisted connected sum construction of Kovalev produces many example
 s of closed Riemannian $7$-manifolds with holonomy group $G_2$ (a special 
 class of Ricci-flat manifolds)\, starting from complex algebraic geometry 
 data like Fano $3$-folds. If the pieces admit automorphisms\, then adding 
 an extra twist to the construction yields examples with a wider variety of
  topological features. I will describe the constructions and outline how o
 ne can use them to produce example of e.g. closed $7$-manifolds with disco
 nnected moduli space of holonomy $G_2$ metrics\, or pairs of $G_2$-manifol
 ds that homeomorphic but not diffeomorphic. This is joint work with Diarmu
 id Crowley and Sebastian Goette.\n
LOCATION:https://researchseminars.org/talk/notts_ag/53/
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