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Junior Geometry
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Saad Slaoui, Zoom: Chern classes in complex algebraic geometry
Tuesday, April 06, 2021, 03:45pm - 04:45pm
Any smooth projective variety X over the complex numbers may alternatively be viewed as a compact K?hler complex manifold by passing to its analytification. As such, several cohomology theories are available to us when setting out to study this class of varieties, depending on whether we choose to work in the settings of algebraic topology (singular/de Rham cohomology), algebraic geometry (Chow cohomology), or complex geometry (Dolbeault cohomology). With that in mind, we will explore some of the various ways in which we can go about defining a theory of Chern classes on these varieties (a certain type of cohomological invariants associated to vector bundles, or more generally to coherent sheaves on X), and give some hints as to how these constructions relate to one another.
Location: Zoom

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