Speaker : Prof.Lawrence Ein (University of Illinois at Chicago)
Title : TBA
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.