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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:An analytic construction of dihedral ALF gravitati
onal instantons - Auvray\, H (Universit Paris-Sud)
DTSTART;TZID=Europe/London:20150727T113000
DTEND;TZID=Europe/London:20150727T123000
UID:TALK60210AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/60210
DESCRIPTION:Gravitational instantons are 4-dimensional complet
e non-compact hyperkhler manifolds with some curva
ture decay at infinity. The asymptotic geometry of
these spaces plays an important role in a conject
ural classification\; for example\, instantons of
euclidean\, i.e. quartic\, large ball volume growt
h\, are completely classified by Kronheimer\, wher
eas the cubic regime\, i.e. the {it ALF (Asymptoti
cally Locally Flat)} case\, is not fully understoo
d yet. More precisely\, ALF instantons with {it cy
clic topology at infinity} are classified by Miner
be\; by contrast\, a classification in the {it dih
edral} case at infinity is still unknown. \n\nA wi
de\, conjecturally exhaustive\, range of dihedral
ALF instantons were constructed by Cherkis-Kapusti
n\, adopting the moduli space point of view\, and
studied explicitly by Cherkis-Hitchin. I shall exp
lain in this talk another construction of such spa
ces\, based on the resolution of a Monge-Ampre equ
ation in ALF geometry. \n
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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