An arithmetic refinement of homological mirror symmetry for the 2-torus

Friday, November 9, 2012 -
4:30pm to 5:30pm
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^2+xy=x^3, and, over the punctured disc Z((q)), to an integral refinement of the known statement of homological mirror symmetry for the 2- torus. This is joint work with Tim Perutz.
Speaker: 
Yanki Lekili
University of Cambridge
Event Location: 
IAS - Simonyi Hall Seminar Room SH-101