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

--- fables [2023/03/23 03:24] – kalinin0
+++ fables [2023/03/23 03:26] – kalinin0
@@ Ligne 8: / Ligne 8: @@
 **Mirror Lagrangians to lines in P^3**
-We discuss work in progress in which we construct, for any tropical curve in R^n with vertices of valence at most 4, a Lagrangian submanifold of (C^*)^n whose moment map projection is a tropical amoeba. These Lagrangians will have singular points modeled on the Harvey-Lawson cone over a 2-torus. We also consider a certain 4-valent tropical curve in R^3, for which we can modify the singular Lagrangian lift to obtain a cleanly immersed Lagrangian. The objects of the wrapped Fukaya category supported on this Lagrangian correspond, under mirror symmetry, to lines in CP^3. If time permits, we will explain how to use functors induced by Lagrangian correspondences to see this mirror relation.
+We discuss work in progress in which we construct, for any tropical curve in $R^n$ with vertices of valence at most $4$, a Lagrangian submanifold of $(C^*)^n$ whose moment map projection is a tropical amoeba. These Lagrangians will have singular points modeled on the Harvey-Lawson cone over a $2$-torus. We also consider a certain $4$-valent tropical curve in $R^3$, for which we can modify the singular Lagrangian lift to obtain a cleanly immersed Lagrangian. The objects of the wrapped Fukaya category supported on this Lagrangian correspond, under mirror symmetry, to lines in $CP^3$. If time permits, we will explain how to use functors induced by Lagrangian correspondences to see this mirror relation.
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   Monday, March 20, 2023