CORDIS Project
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This project aims to explore mathematical conjectures related to singular affine manifolds originating from string theory. It focuses on developing tools to compare different approaches and understand the limits of certain mathematical structures.
In the beginning of 2000s Kontsevich and Soibelman have introduced two variants of the SYZ conjecture originating from string theory: a non-Archimeadean one and a differential-geometric one.
Both of these conjectures posit existence of a singular affine manifold (the base of the SYZ fibration) that can be obtained either as a subset of the non-Archimedean analytic space associated to a family of complex projective Calabi-Yau varieties with maximally unipotent monodromy, or as a Gromov-Hausdorff…
KATHOLIEKE UNIVERSITEIT LEUVEN
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