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SUMMARY:Homological mirror symmetry for K3 surfaces - Ailsa Keating (Cambr
 idge)
DTSTART:20241016T150000Z
DTEND:20241016T160000Z
UID:TALK220933@talks.cam.ac.uk
CONTACT:Oscar Randal-Williams
DESCRIPTION:Joint work with Paul Hacking (U Mass Amherst). We will outline
  a proof of homological mirror symmetry for K3 surfaces\, in the following
  setting: on the symplectic side\, we have any K3 surface (X\, \\omega) wi
 th \\omega integral Kaehler\; and on the algebraic side\, we have any K3 s
 urface Y with Picard rank 19.  Our approach includes establishing a conjec
 ture of Lekili-Ueda for `type III' degenerations of K3 surfaces\, which ma
 y be of independent interest. Time allowing\, we will explain what general
 isations we expect. The talk will be targeted at an audience with a broad 
 range of geometric interests.
LOCATION:MR13
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