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Extended Period Mapping - Clay Lecturer

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KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights

The theme of this lecture will be the global properties of period mappings with applications to compactifications of moduli spaces. Given a variation of Hodge structure over a smooth quasi-projective variety B, we will define and discuss properties of maximal and minimal extensions $\Phi_T$ and $\Phi_S$ of the corresponding period mapping $\Phi$. Of particular interest will be the fibration over the divisor at infinity of the images of $\Phi_T$ and $\Phi_S$ in which the rich geometry of the extension date of limiting mixed Hodge structures will be analyzed. The general theory will then be illustrated for the boundary of the moduli space of one particularly interesting algebraic surface. *Joint work with Mark Green and Colleen Robles

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

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