Department of Mathematics

Colloquium

  •  Nicolas Addington, University of Oregon
  •  Cubic fourfolds
  •  04/20/2021
  •  4:00 PM - 5:00 PM
  •  Online (virtual meeting)
  •  Aaron D Levin ()

When I tell people that cubic fourfolds are a hot topic in algebraic geometry, they're often incredulous at what sounds like a random choice of numbers -- why those and not, say, quartic threefolds? But cubic fourfolds are more interesting than hypersurfaces of other degrees and dimensions for two reasons: first, the classical question of which ones are "rational" is unexpectedly hard, lying just out of reach of both old and new techniques; second, they have unexpected connections to K3 surfaces and hyperkähler manifolds, through Hodge theory, derived categories of coherent sheaves, and beautiful geometric constructions. I'll try to give a taste of what has attracted so many people to this topic in the last 15 to 25 years. The talk will be aimed at a general mathematical audience, including graduate students.

 

Contact

Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
Fax: (517) 432-1562

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