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UID:03a292ee7778a78c51fbce985553f1d0
CATEGORIES:Special Colloquium
CREATED:20251031T181748
SUMMARY:Geometry of cubic fourfolds
LOCATION:Hill 705
DESCRIPTION:<p><strong><strong>Abstract:</strong>&nbsp;</strong>Arguably, the main goal
  of algebraic geometry is to classify algebraic varieties, up to birational
  equivalence. Even the simplest case, determining whether a variety is bira
 tional to projective space, is incredibly subtle. We will discuss this ques
 tion in the context of cubic hypersurfaces, reviewing the current state of 
 the art rationality conjectures. We will discuss recent progress in underst
 anding the birational geometry of cubic fourfolds using new tools such as t
 he derived category, equivariant geometry, and the geometry of hyperkähler 
 manifolds.</p>
CONTACT:Lisa Marquand (NYU)
DTSTAMP:20260830T044555
DTSTART;TZID=America/New_York:20251119T153000
DTEND;TZID=America/New_York:20251119T163000
SEQUENCE:0
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