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# Ravindra Girivaru : Lefschetz type theorems for algebraic cycles and vector bundles.

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.

**Category**: Algebraic Geometry**Duration**: 01:34:44**Date**: March 29, 2019 at 3:10 PM**Views**: 214-
**Tags:**seminar, Algebraic Geometry Seminar

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