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CATEGORIES:Differential Geometry and Topology Seminar
SUMMARY:K3 surfaces with non-symplectic involution and com
pact G2-manifolds - Alexei Kovalev\, Cambridge
DTSTART;TZID=Europe/London:20110223T160000
DTEND;TZID=Europe/London:20110223T170000
UID:TALK25741AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/25741
DESCRIPTION:I will describe a large new class of quasiprojecti
ve complex algebraic threefolds and their applicat
ion to constructing many new examples of compact R
icci-flat 7-manifolds with holonomy G_2\, via the
connected-sum\nmethod. The construction requires g
luing two `matching' pieces\, each one being a pro
duct of a threefold and a circle. The threefolds a
re obtained using the theory of K3 surfaces with n
on-symplectic involution due to Nikulin. The relat
ion will also be explained between algebraic invar
iants of K3 surfaces and the `geography' of Betti
numbers of the new and some previously known compa
ct G_2-manifolds. Joint work with N.-H. Lee.
LOCATION:MR4
CONTACT:Ivan Smith
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