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SUMMARY:Contributed Talk - The Sullivan-conjecture in complex dimension 4 
 - Csaba Nagy (University of Melbourne)
DTSTART:20181206T160000Z
DTEND:20181206T163000Z
UID:TALK115426@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The Sullivan-conjecture claims that complex projective complet
 e intersections are classified up to diffeomorphism by their total degree\
 , Euler-characteristic and Pontryagin-classes. Kreck and Traving showed th
 at the conjecture holds in complex dimension 4 if the total degree is divi
 sible by 16. In this talk I will present the proof of the remaining cases.
  It is known that the conjecture holds up to connected sum with the exotic
  8-sphere (this is a result of Fang and Klaus)\, so the essential part of 
 our proof is understanding the effect of this operation on complete inters
 ections. This is joint work with Diarmuid Crowley.
LOCATION:Seminar Room 1\, Newton Institute
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