Homological Mirror Symmetry for Theta Divisors

Abstract: Mirror symmetry relates complex and symplectic manifolds which come in mirror pairs, and homological mirror symmetry is an equivalence of categories on each. In forthcoming joint work with Haniya Azam, Heather Lee, and Chiu-Chu Melissa Liu, we prove a global homological mirror symmetry result for genus 2 curves. We consider genus 2 curves as hypersurfaces of principally polarized abelian surfaces, on the complex side. In a follow-up paper, we allow the abelian variety to have arbitrary dimension, and hypersurfaces are now theta divisors. This talk will overview the results of these papers.

algebraic geometrynumber theory

Audience: researchers in the topic

SFU NT-AG seminar

Series comments: The Number Theory and Algebraic Geometry (NT-AG) seminar is a research seminar dedicated to topics related to number theory and algebraic geometry hosted by the NT-AG group (Nils Bruin, Imin Chen, Stephen Choi, Katrina Honigs, Nathan Ilten, Marni Mishna).

We acknowledge the support of PIMS, NSERC, and SFU.

For Fall 2025, the organizers are Katrina Honigs and Peter McDonald.

We normally meet in-person in the indicated room. For online editions, we use Zoom and distribute the link through the mailing list. If you wish to be put on the mailing list, please subscribe to ntag-external using lists.sfu.ca