Mirror symmetry involves relating the geometry of two Calabi-Yau manifolds: one aspect of the symmetry is called the "A-model" and the other is the "B-model". Mirror symmetry of Calabi-Yau manifolds has excited much research in mathematics (for example, in Algebraic Geometry and Symplectic Topology), and also in theoretical physics through String Theory, but in general remains poorly understood. Many symmetries are well-known, for example the symmetries of a cube or sphere, but others are far more mysterious and their study has led to great mathematical advances. Symmetry is ubiquitous in mathematics, and is the source of endless fascination and study. Two key ideas in mathematics are symmetry and classification. Bridgeland stability on Fukaya categories of Calabi-Yau 2-foldsĮPSRC Mathematical Sciences Prioritisation Panel September 2019
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