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SUMMARY:Deforming K3 twistor spaces and cycles in the K3 period domain - D
 aniel Greb (Universität Duisburg-Essen)
DTSTART:20240910T130000Z
DTEND:20240910T140000Z
UID:TALK219565@talks.cam.ac.uk
DESCRIPTION:While there has been a well-understood connection between indi
 vidual twistor families built from hyperk&auml\;hler metrics on K3 surface
 s and special subvarieties in the period domain of K3 surfaces\, the relat
 ion between the complex geometry of the parameter space for such subvariet
 ies (the cycle space) on the one hand and hyperk&auml\;hler geometry on th
 e other hand has been almost neglected for the last few decades. In my tal
 k\, I will report on recent joint work with Martin Schwald (Cologne) in wh
 ich we make the first steps towards understanding the meaning of the cycle
  space in terms of deformation theory and moduli of twistor spaces and in 
 terms of deformation theory of complex-hyperk&auml\;hler structures on K3 
 surfaces.\n&nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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