Metric SYZ conjecture

Abstract: I will discuss my recent work on the metric aspect of the Strominger-Yau-Zaslow conjecture, focusing mostly on the Fermat family of hypersurfaces. The conjecture asks for the existence of special Lagrangian torus fibrations for Calabi-Yau manifolds near the large complex structure limit, at least in the generic region of the manifold. The key is to prove a metric asymptote in the limit, and time permitting I will try to mention some ingredients.

algebraic geometryanalysis of PDEsalgebraic topologycomplex variablesdifferential geometrygeneral topologygeometric topologyK-theory and homologymetric geometrysymplectic geometry

Audience: researchers in the topic

CRM - Séminaire du CIRGET / Géométrie et Topologie

Series comments: Hybrid seminar of geometry and topology. Laboratory : CIRGET - www.cirget.uqam.ca The homepage of the seminar is www.cirget.uqam.ca/fr/seminaires.html

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