Rank two BrillNoether theory and the birational geometry of the moduli space of curves
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If you have a question about this talk, please contact Mustapha Amrani.
Moduli Spaces
I shall discuss applications of Koszul cohomology and rank two BrillNoether theory to the intersection theory of the moduli space of curves. For instance, one can construct extremal divisors in M_g whose points are characterized in terms of existence of certain rank two vector bundles. I shall then explain how these subvarieties of M_g can be thought of as failure loci of an interesting prediction of Mercat in higher rank BrillNoether theory.
This talk is part of the Isaac Newton Institute Seminar Series series.
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