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SUMMARY:On 2-elementary K3 surfaces and string dualities - Andreas Malmend
 ier (University of Connecticut)
DTSTART:20220722T123000Z
DTEND:20220722T133000Z
UID:TALK175061@talks.cam.ac.uk
DESCRIPTION:Inose surfaces (associated with Kummer surfaces of Jacobians o
 f smooth genus-two curves) provide a purely geometric interpretation for a
  certain duality in string theory. Building on this foundation\, I will ex
 plain how algebraic K3 surfaces obtained from abelian varieties provide a 
 fascinating arena for string compactification and string dualities as they
  are not-trivial spaces\, but are sufficiently simple to analyze most of t
 heir properties in detail. I will then describe recent results where we us
 ed families of lattice polarized K3 surfaces of Picard rank 10\, 14\, and 
 16 to provide a geometric interpretation\, called geometric two-isogeny\, 
 for the so-called F-theory/heterotic string duality in eight dimensions wi
 th up to 4 Wilson lines. This is joint work with A. Clingher.
LOCATION:Seminar Room 1\, Newton Institute
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