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University of Cambridge > Talks.cam > DPMMS Presentations > An arithmetic refinement of homological mirror symmetry for the 2-torus

## An arithmetic refinement of homological mirror symmetry for the 2-torusAdd to your list(s) Download to your calendar using vCal - Yanki Lekili (Cambridge)
- Thursday 07 February 2013, 14:00-15:00
- CMS, MR4.
If you have a question about this talk, please contact Julia Blackwell. We explore a refinement of homological mirror symmetry which relates exact
symplectic topology to arithmetic algebraic geometry. We establish a derived
equivalence of the Fukaya category of the 2- torus, relative to a basepoint,
with the category of perfect complexes on the Tate curve over Z[[q]]. It
specializes to an equivalence, over Z, of the Fukaya category of the punctured
torus with perfect complexes on the nodal Weierstrass curve y This talk is part of the DPMMS Presentations series. ## This talk is included in these lists:- All CMS events
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