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

--- start [2023/12/05 11:44] – slavitya_gmail.com
+++ start [2024/03/12 13:13] (Version actuelle) – slavitya_gmail.com
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 ====== Seminars and conferences ======
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+  Prof. Ilia Itenberg (Sorbonne University), Friday, March 15, SM 01-05, 15h15-17h
+"Basic algebra and algebraic geometry special talk:
+Real plane sextic curves without real singular points"
+We will start with a brief introduction to topology of real algebraic curves,
+and then will discuss in more details the case of curves of degree 6 in the real projective plane.
+We will prove that the equisingular deformation type of a simple real plane sextic curve
+with smooth real part is determined by its real homological type, that is, the polarization, exceptional divisors,
+and real structure recorded in the homology of the covering K3-surface (this is a joint work with Alex Degtyarev).
+----
+  Alexander Bobenko (TU Berlin), Feb 16, 2024, at 14h30, Salle 01-05
+"Dimers and M-curves"
+We develop a general approach to dimer models analogous to Krichever’s scheme in the theory of integrable systems. This leads to dimer models on doubly periodic bipartite graphs with quasiperiodic positive weights.
+This generalization from Harnack curves to general M-curves leads to transparent algebro-geometric structures. In particular explicit formulas for the Ronkin function and surface tension as integrals of meromorphic differentials on M-curves are obtained. Based on Schottky uniformizations of Riemann surfaces we compute the weights and dimer configurations. The computational results are in complete agreement with the theoretical predictions. Also relation to discrete conformal mappings and to hyperbolic polyhedra is explained. This is a joint work with N. Bobenko and Yu. Suris.
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@@ Ligne 36: / Ligne 59: @@
 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;
+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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