CORDIS Project
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This project explores the concept of Homological Mirror Symmetry, a relationship between algebraic and symplectic geometry. It aims to prove key conjectures and enhance understanding of symplectic topology through various mathematical approaches.
Mirror symmetry is a deep relationship between algebraic and symplectic geometry, with origins in string theory.
It was originally envisioned as an isomorphism between the Hodge theory of an algebraic variety and the `quantum Hodge theory' of a `mirror' symplectic manifold, but it was subsequently realized by Kontsevich that the relationship went far deeper.
His Homological Mirror Symmetry (HMS) conjecture predicts an equivalence between the derived category of the variety and the Fukaya categor…
THE UNIVERSITY OF EDINBURGH
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