Abstract:
I will explain how, under suitable hypotheses, one can construct a flat degeneration from the symplectic cohomology of log Calabi–Yau varieties to the Stanley–Reisner ring on the dual intersection complex of a compactifying divisor. I will explain how this result connects to classical mirror constructions of Batyrev and Hori-Iqbal-Vafa as well as ongoing work of Gross and Siebert.