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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:ALC G2 manifolds - Lorenzo Foscolo (Stony Brook Un
iversity)
DTSTART;TZID=Europe/London:20160628T090000
DTEND;TZID=Europe/London:20160628T100000
UID:TALK66604AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/66604
DESCRIPTION:An ALC (asymptotically locally conical) manifold i
s a complete non-compact \;Riemannian manifold
whose ends are modelled on circle fibrations over
Riemannian cones of one lower dimension with fibr
es of asymptotically constant finite length. In di
mension 4 and when the asymptotic cone is flat the
acronym ALF (asymptotically locally flat) is more
commonly used. \;(Conjectural) examples of AL
C manifolds with G2 holonomy have appeared both in
the physics and mathematics literature since the
early 2000&rsquo\;s. ALC G2 manifolds provide inte
resting models for understanding how \;compact
G2 manifolds can collapse to Calabi-Yau 3-folds.
In this talk I will discuss the construction of v
arious families of ALC G2 manifolds and describe t
heir geometric properties. This is joint work with
Mark Haskins (Imperial College London) and Johann
es Nordströ\;m (University of Bath).
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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