Diego Matessi, Università degli Studi di Milano: Lagrangian fibrations on Calabi-Yau hypersurfaces I
Автор: IMSA
Загружено: 2026-01-20
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Diego Matessi, Università degli Studi di Milano: Lagrangian fibrations on Calabi-Yau hypersurfaces I
In joint work with Mak-Ruddat-Zharkov, we prove the existence of Lagrangian torus fibrations on Calabi-Yau hypersurfaces in toric Fano manifolds given by a reflexive polytope. The result is motivated by the Strominger-Yau-Zaslow conjecture which predicts the existence of these fibrations on Calabi-Yau manifolds near large complex structure limits. In this talk I will outline the main set up of the construction. The idea is to replace the ordinary algebraic equation, with a new one involving "ironing coefficients" and a convex potential which have the effect of breaking the manifold in local models. Over these models we apply the Liouville flow technique in the style of Evans-Mauri.
Conference: New Developments in Singularity Theory
Dates: November 10-14, 2025
Location: Ungar Building, Room 528B, University of Miami
Organized by: Helge Ruddat, Nero Budur, Enrique Becerra, Leonardo Cavenaghi
This is an IMSA & ICMS joint event, supported by the Simons Foundation, National Science Foundation and the University of Miami.
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