The Lagrangian Ceresa Cycle

In algebraic geometry, the Ceresa cycle provided one of the first examples of a nullhomologous cycle which is not algebraically trivial. I will explain how one can obtain a mirror statement about the Lagrangian Ceresa cycle, a nullhomologous Lagrangian living in a symplectic six-torus. This requires introducing a new equivalence relation on Lagrangians in a symplectic manifold, algebraic Lagrangian cobordism, inspired by algebraic equivalence.