Speaker: Nathan Chen, Columbia UniversityTitle: On the irrationality of some algebraic varieties and their subvarietiesDate: 10/24/2022Time: 3:00 PM - 4:00 PMPlace: C304 Wells HallContact: Laure Flapan (flapanla@msu.edu)

The classical question of determining which varieties are rational has led to a huge amount of interest and activity. On the other hand, one can take on a complementary perspective - given a smooth projective variety whose nonrationality is known, how far is it from being rational? I will survey what is currently known, with an emphasis on hypersurfaces and complete intersections.

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