A perspective projection of a dodecahedral tessellation in H3. Four dodecahedra meet at each edge, and eight meet at each vertex, like the cubes of a cubic tessellation in E3.

Title: K-theory and intersection theory on varieties

Speaker: Ashesh Bati

Abstract: One of the many applications of the theory of vector bundles and Chern classes is in intersection theory on manifolds, arising from the close interplay with Poincaré duality. In the algebraic setting, we don’t have such a luxury, and instead we have to deal with the normal bundle. I will discuss and compare these settings and talk about how K_0(X) (for a smooth projective variety) comes into play, and underlies much of the theory.

 

Some snacks will be provided before and after the talk.

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