ERC Starting Grant · 2020
Non-archimedean Mirror Symmetry
Mirror symmetry is one of the most mysterious dualities in mathematics. Roughly, it predicts that given any Calabi-Yau variety, there exists a mirror Calabi-Yau variety such that a rich list of geometric relations hold between the two, involving Hodge numbers, Gromov-Witten invariants, variation of Hodge structures, Floer homology (Fukaya category), coherent sheaves, stability conditions and so on. Despite continual progress in the subject, a fundamental question remains unclear: to what extent do mirrors exist, and how to construct the mirror variety? Here we propose a new approach to answer this question, based on latest developments from non-archimedean geometry, in particular the theory…
From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.
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