SPAZI DI MODULI DI RAPPRESENTAZIONI PFAFFIANE DI CUBICHE 3-DIMENSIONALI - GAIA COMASCHI

Given a hypersurface X C Pn, we can determine whether its equation might be expressed as the determinant of a matrix of linear forms by showing the existence of certain ACM sheaves on X. In this talk I will treat the case where X is a cubic threefold,
illustrating how to prove the existence of sheaves that lead to Pfaffian representations of X.
I will then present how to construct the moduli space parameterizing Pfaffian representations of 3-dimensional cubics and explain how it relates to the moduli space of instanton bundles.

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