Algebraic Geometry Seminar
Friday, March 29, 2019, 3:15pm, 119 Physics
Ravindra Girivaru (University of Missouri - St. Louis, Mathematics)
Lefschetz type theorems for algebraic cycles and vector bundles.
Abstract:- The Weak Lefschetz theorem (or the Lefschetz hyperplane theorem) states that for a smooth, projective variety Y and a smooth hyperplane section X in Y, the restriction map of cohomologies H^i(Y) to H^i(X) is an isomorphism for i less than dim{X}, and an injection when i equal to dim{X}.
Analogues of this theorem have been conjectured for algebraic cycles. We will talk about some results in this area. We will also talk about such questions for vector bundles. [video]
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