Gross and Siebert have recently proposed an “intrinsic” programme for studying mirror symmetry. In this talk, we will discuss a symplectic interpretation of some of their ideas in the setting of affine log Calabi-Yau varieties. Namely, we describe work in progress which shows that, under suitable assumptions, the wrapped Fukaya category of such a variety X gives an intrinsic “categorical crepant resolution” of Spec(SH0(X)). No background in mirror symmetry will be assumed for the talk.
This video is part of the Institute for Advanced Study‘s Symplectic geometry seminar.
