Speaker: Prof. Lawrence Ein (University of Illinois at Chicago)
Title: Geometry of a generic hypersurface in the projective space
Time: 2019-01-17 (Thu.)  15:00 - 16:00
Place: Auditorium, 6 Floor, Institute of Mathematics (NTU Campus)
Abstract: We'll discuss various results about the geometry of a general hypersurface X of degree d in the projective n-space. There are classical results of Clemens-Griffiths and Iskovskih-Manin about cubic and quartic threefolds. In particular, they show that these threefolds are not birational to the projective 3-space. We'll discuss some results about the various generalizations of these results to higher dimensional hypersurfaces. We'll also discuss various methods in measuring the irrationality of a very high degree hypersurfaces.
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