Homological Mirror Symmetry for Theta Divisors
Catherine Cannizzo (University of California, Riverside)
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
Series comments: Description: Research/departmental seminar
Seminar usually meets in-person. For online editions, the Zoom link is shared via mailing list.
Organizers: | Katrina Honigs*, Nils Bruin* |
*contact for this listing |