Homological Mirror Symmetry for Some Non-Kähler Elliptic Surfaces

Explore homological mirror symmetry results for elliptic surfaces constructed through logarithmic transformations in this 65-minute lecture by Stanford University's Abigail Ward. Delve into the study of surfaces created by performing two logarithmic transformations on the product of P1 with an elliptic curve, including the classical Hopf surface (S1 × S3). Examine how this work, combined with research by Auroux, Efimov, and Katzarkov on the Fukaya category of singular curves, leads to speculations about a mirror operation to the logarithmic transformation and its potential applications in the field of algebraic geometry.