fables
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| Les deux révisions précédentesRévision précédenteProchaine révision | Révision précédente | ||
| fables [2023/05/17 11:01] – kalinin0 | fables [2023/12/05 11:54] (Version actuelle) – slavitya_gmail.com | ||
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| ====== Séminaire " | ====== Séminaire " | ||
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| + | **Francesca Carocci (Genève)** | ||
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| + | **Degenerations of Limit linear series** | ||
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| + | Maps to projective space are given by basepoint-free linear series, thus these are key to understanding the extrinsic geometry of algebraic curves. | ||
| + | How does a linear series degenerate when the underlying curve degenerates and becomes nodal? | ||
| + | Eisenbud and Harris gave a satisfactory answer to this question when the nodal curve is of compact type. Eisenbud-Harris' | ||
| + | I will report on a joint work in progress with Lucaq Battistella and Jonathan Wise, in which we review this question from a moduli-theoretic and logarithmic perspective. The logarithmic prospective helps understanding the rich polyhedral and combinatorial structures underlying degenerations of linear series. These are linked with matroids and Bruhat-Titts buildings. | ||
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| + | Monday, Nov 13, 15h, Salle 06-13 | ||
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| + | **Francesca Carocci (Genève)** | ||
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| + | **What can we do with the Logarithmic Hilbert Scheme? | ||
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| + | In 2020 Maulik-Ranganathan defined the Logarithmic Hilbert-Scheme, | ||
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| + | I will try to explain some of the ideas of the construction, | ||
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| + | The main goal of the talk would be to understand if this theory gives rise to some interesting questions and the relation of such questions with tropical geometry. | ||
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fables.1684314079.txt.gz · Dernière modification : 2023/05/17 11:01 de kalinin0