Generating the mirror to a toric variety
This talk will examine Lagrangian submanifolds in (C^*)^n, which are conical and avoid some collection of Legendrians at infinity (the FLTZ skeleton). I'll show that tropical sections in (C^*)^n geometrically generate the linking disks of the FLTZ skeleton, thereby proving that they generate the partially wrapped Fukaya category. The main tools used in the proof will be Lagrangian correspondences and Lagrangian cobordisms, and is motivated by considerations from homological mirror symmetry. This is partly based on joint work with Andrew Hanlon.