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fables [2023/11/10 15:19] slavitya_gmail.comfables [2023/12/05 11:54] (Version actuelle) slavitya_gmail.com
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 ====== Séminaire "Fables Géométriques". ====== ====== Séminaire "Fables Géométriques". ======
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 + Friday, Dec 8, 14h30, Salle 06-13
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 +**Francesca Carocci (Genève)**
 +
 +**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'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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fables.txt · Dernière modification : 2023/12/05 11:54 de slavitya_gmail.com