Algebraic Lagrangian cobordisms and the Ceresa cycle

Alexia Corradini (University of Cambridge)

Tuesday 13th May 15:00-16:00
Maths 311B

Abstract

The Ceresa cycle of a curve is a 1-cycle in its Jacobian; it provided one of the first examples of a cycle which is homologically, but not algebraically trivial. I will propose an equivalence relation on Lagrangians in a symplectic manifold “mirror” to algebraic equivalence, and show it captures non-trivial symplectic geometry through a Lagrangian version of the Ceresa cycle story. This is an instance in which insights from algebraic geometry are used to hint at possibly new symplectic behaviour.
 
No background in mirror symmetry or symplectic geometry will be assumed.

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