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Presented By: Algebraic Geometry Seminar - Department of Mathematics

Special Algebraic Geometry Seminar: Refined transversality and equivariant positivity

Dave Anderson (Ohio State)

The standard Kleiman-Bertini transversality theorems say that if a variety is homogeneous with respect to the action of an algebraic group, then this action moves any two subvarieties into transverse position. I will describe refinements which treat cases where the action is not transitive, along with an application to the positivity of cohomology and K-theory classes of subvarieties of a generalized flag variety.

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