Student Algebraic Geometry Seminar: An example of homological mirror symmetry

Seminar | April 10 | 4-5 p.m. | 891 Evans Hall

 Catherine Cannizzo, UC Berkeley

 Department of Mathematics

We will describe homological mirror symmetry via the example of \( T^2 \) by Zaslow-Polishchuk. Mirror symmetry has several formulations in math and the main idea is that there are pairs of manifolds, a symplectic manifold (called the A-model) and a complex manifold (called the B-model) and complex invariants on the B-model, where more is known, tell us about symplectic invariants on the A-model. This talk will describe the homological version of mirror symmetry, first conjectured by Kontsevich.