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SUMMARY:Ilia Itenberg (UPMC Paris)
DTSTART:20220506T140000Z
DTEND:20220506T150000Z
DTSTAMP:20260423T021102Z
UID:LAGARTOS/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGARTOS/42/
 ">Planes in cubic fourfolds</a>\nby Ilia Itenberg (UPMC Paris) as part of 
 (LAGARTOS) Latin American Real and Tropical Geometry Seminar\n\n\nAbstract
 \nWe discuss possible numbers of 2-planes in a smooth cubic hypersurface i
 n the 5-dimensional projective space. We show that\, in the complex case\,
  the maximal number of planes is 405\, the maximum being realized by the F
 ermat cubic. In the real case\, the maximal number of planes is 357. The p
 roofs deal with the period spaces of cubic hypersurfaces in the 5-dimensio
 nal complex projective space and are based on the global Torelli theorem a
 nd the surjectivity of the period map for these hypersurfaces\, as well as
  on Nikulin's theory of discriminant forms. Joint work with Alex Degtyarev
  and John Christian Ottem.\n
LOCATION:https://researchseminars.org/talk/LAGARTOS/42/
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