Colloquium


DATE2017-10-05 16:10-17:00

PLACE數學館3174教室

SPEAKER卓士堯 教授(清華大學數學系

TITLEIitaka Dimensions of Vector Bundles

ABSTRACT To understand an abstract space X, one often tries to embed it into more familiar spaces such as the Euclidean space or the projective space. It has long been understood that giving a map from X to a projective space is equivalent to giving a line bundle L on X with nonzero global sections. A well-known result of Iitaka in algebraic geometry says that the maps from X to projective spaces given by higher and higher tensor powers of L eventually stabilize to a fibration. In a recent preprint, Mistretta and Urbinati generalize this when L is replaced by a vector bundle, which gives a map from X to a Grassmannian. I will explain their result and answer one of their questions.