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SUMMARY:In quest for a non-formal G_2 manifold - Dominic Wallis (Bath Univ
 ersity)
DTSTART:20151127T150000Z
DTEND:20151127T160000Z
UID:TALK62653@talks.cam.ac.uk
CONTACT:Christian Lund
DESCRIPTION:Does a manifold with special holonomy have to be formal? Answe
 ring the question to the affirmative has so far eluded mathematicians (to 
 the author's knowledge). Thus the quest is on to find a counter example. B
 asics of formality and holonomy will be covered briefly. We examine the re
 sults that give us clues for where (mainly not) to look\, such as Delign e
 t al that Kähler manifolds\, which are precisely those with holonomy U(n)
 \, are formal. We introduce the technology available to us to conduct a me
 aningful search. That is\, our constructor of manifolds with holonomy G_2\
 , the twisted connected sum\; and our formality detector\, the Bianchi-Mas
 sey product. We conclude with our results to date.
LOCATION:MR13
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