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The mirror to an affine blow-up
Algebraic Geometry and Number Theory| Speaker: | Benjamin Gammage, Harvard University |
| Related Webpage: | https://people.math.harvard.edu/~gammage/ |
| Location: | Zoom |
| Start time: | Wed, Apr 20 2022, 11:00AM |
The operation of affine blow-up -- a blow-up followed by deletion of the proper transform of a divisor -- is fundamental in cluster theory: the Gross-Hacking-Keel approach to cluster varieties presents them via a series of affine blow-ups. In this talk, we explain how affine blowups are reflected in the symplectic geometry of a mirror dual space, with the goal of proving homological mirror symmetry for cluster varieties. This is joint work with Ian Le.