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4:00 pm Friday, January 11, 2013 Special Colloquium: An Arithmetic Refinement of Homological Mirror Symmetry for the 2-Torusby YankI Lekili (Cambridge University) in HBH 227- 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, over the punctured disk Z((q)), to an integral refinement of the known statement of the homological mirror symmetry for the 2-torus. We will survey a general strategy of proof of homological mirror symmetry while carrying this out in the specific case of the 2-torus. In contrast to the abstract statement of our main result, the focus of the talk will be a concrete computation which we will express in more familiar terms. This is joint work with Tim Perutz.
Submitted by hassett@math.rice.edu |