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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Extended Period Mapping - Clay Lecturer

## Extended Period Mapping - Clay LecturerAdd to your list(s) Download to your calendar using vCal - Phillip Griffiths (Institute for Advanced Study, Princeton)
- Thursday 23 June 2022, 15:00-16:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. 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. ## This talk is included in these lists:- All CMS events
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