Homological Mirror Symmetry for Theta Divisors

Explore the intricate world of homological mirror symmetry in this 56-minute lecture by Heather Lee from the University of Washington. Delve into the correspondence between complex moduli of theta divisors in principally polarized abelian varieties and the Kaehler moduli of mirror Landau-Ginzburg models. Examine the global homological mirror symmetry across the entire moduli space, with a focus on abelian varieties in complex dimension 2 where theta divisors are genus 2 curves. Discover how this work expands upon Cannizzo's thesis, which proved a homological mirror symmetry result for a one-parameter family of genus 2 curves in the moduli space. Gain insights into this collaborative research conducted with Haniya Azam, Catherine Cannizzo, and Chiu-Chu Melissa Liu.