Kodaira-Spencer isomorphisms and Hecke correspondences

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• Fred Diamond (King's College London)
• Tuesday 31 May 2022, 16:00-17:00
• Seminar Room 2, Newton Institute.

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KAH2 - K-theory, algebraic cycles and motivic homotopy theory

The Kodaira-Spencer isomorphism for a modular curve relates its cotangent bundle to that of the universal elliptic curve over it.  I’ll explain a perspective that yields a description of  dualizing sheaves for integral models in certain situations of bad reduction.  The resulting Kodaira-Spencer isomorphism generalizes (at least) to the setting of Hilbert modular varieties, with applications to the construction and integrality properties of Hecke operators.

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

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