CORDIS Project
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This project focuses on classifying Fano manifolds, fundamental components in geometry, using innovative methods from string theory and computational algebra. It aims to compute Gromov-Witten invariants to advance understanding in algebraic geometry and related fields.
The classification of Fano manifolds is a long-standing and important open problem.
Fano manifolds are basic building blocks in geometry: they are `atomic pieces' of mathematical shapes.
We will take a radically new approach to Fano classification, combining Mirror Symmetry (a circle of ideas which originated in string theory) with new methods in geometry and massively-parallel computational algebra.
Our main geometric tool will be Gromov-Witten invariants.
The Gromov-Witten invariants of a…
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