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Ci-dessous, les différences entre deux révisions de la page.

--- fables [2023/11/10 15:19] – slavitya_gmail.com
+++ fables [2023/12/05 11:54] (Version actuelle) – slavitya_gmail.com
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 ====== Séminaire "Fables Géométriques". ======
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+ Friday, Dec 8, 14h30, Salle 06-13
+**Francesca Carocci (Genève)**
+**Degenerations of Limit linear series**
+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's theory of limit linear series gives proofs via degenerations  of many foundational results in Brill--Noether theory, and it is powerful enough to answer several  birational geometry questions on the moduli space of curves.
+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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