Berkeley-Tokyo Summer School "Geometry, Representation Theory, and Mathematical Physics": Mirror symmetry for very affine varieties

Seminar | August 24 | 10-11:30 a.m. | 375 LeConte Hall

 Vivek Shende, UC Berkeley

 Department of Mathematics

Using tropical methods, I will describe the skeleton for the general hyper surface cut out by a Laurent polynomial with only one term in the interior of its newton polytope. This turns out to agree with the skeleton introduced by Fang, Liu, Treumann, and Zaslow. Using the work of Kuwakagi, a new functoriality statement for the coherent-constructible correspondence, and the cosheafification result discussed in the previous talk, we deduce that the wrapped Fukaya category of the hyper surface is equivalent to the derived category of coherent sheaves on the boundary divisor in a certain toric stack.