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SUMMARY:Blowing up extremal Poincaré type manifolds - Lars Sektnan\, UQAM
  / McGill
DTSTART:20190515T150000Z
DTEND:20190515T160000Z
UID:TALK114406@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Metrics of Poincaré type are Kähler metrics defined on the c
 omplement of a smooth divisor D in a compact Kähler manifold X which near
  D are modeled on the product of a smooth metric on D with the standard cu
 sp metric on a punctured disk in the complex plane. In this talk I will di
 scuss an Arezzo-Pacard type theorem for the existence of such metrics on b
 lowups. A key feature is an obstruction which has no analogue in the compa
 ct case\, coming from additional cokernel elements for the linearisation o
 f the scalar curvature operator. This additional condition is conjecturall
 y related to ensuring the metrics remain of Poincaré type.
LOCATION:MR13
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