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Tautological algebra of the moduli space of vector bundles on a curve

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KAH2 - K-theory, algebraic cycles and motivic homotopy theory

The cohomology theories capture topological, complex and algebraic structures on an algebraic variety. The moduli spaces play an important role in Algebraic Geometry, and the Cohomology structure on both Betti and their Chow groups, are of wide interest. The study of geometrically defined cycles has been carried out on moduli of curves, and moduli of abelian varieties. We propose to have a similar study on moduli of semi-stable vector bundles on a curve. We consider the cohomology classes of Brill Noether subvarieties and try to understand the structure of the algebra generated by the classes. It turns out to have a structure similar to the Poincaré formula found on the Jacobian of a curve, in certain cases.

This talk is part of the Isaac Newton Institute Seminar Series series.

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