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The Essential Dimension of the Moduli Stack of Vector bundles over a Curve

SPEAKER: Nicole Lemire

TITLE: The Essential Dimension of the Moduli Stack of Vector bundles over a Curve

ABSTRACT: In joint work with Indranil Biswas and Ajneet Dhillon, we determine upper bounds on the essential dimension of the moduli stack of parabolic vector bundles over a curve. When there is no parabolic structure, we improve our previously known upper bound on the essential dimension of the usual moduli stack of vector bundles over a curve. Our calculations also give lower bounds on the essential dimension of the semistable locus inside the usual moduli stack.