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Statut |
Confirmé |
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Série |
SEED |
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Domaines |
math-ph |
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Date |
Mercredi 28 Janvier 2026 |
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Heure |
15:00 |
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Institut |
IHP |
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Salle |
Amphi Choquet-Bruhat (batiment Perrin) |
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Nom de l'orateur |
Pichon-Pharabod |
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Prenom de l'orateur |
Eric |
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Addresse email de l'orateur |
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Institution de l'orateur |
Max Planck Institute for Mathematics in the Sciences, Leipzig |
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Titre |
Numerical computations of periods and monodromy representations |
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Résumé |
The period matrix of a smooth complex projective variety encodes the isomorphism
between its singular homology and its algebraic De Rham cohomology. Numerical
approximations with sufficient precision of the entries of the period matrix allow
to recover some algebraic invariants of the variety. Such approximations can be
obtained from an effective description of the homology of the variety, which
itself can be obtained from the monodromy representation associated to a generic
fibration. I will describe these methods to several hundred digits, and showcase
implementations and applications, in particular to computation of the Picard rank
of certain K3 surfaces. |
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Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
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