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SUMMARY:The A-side of the Ceresa cycle - Alexia Corradini
DTSTART:20250204T133000Z
DTEND:20250204T150000Z
UID:TALK227359@talks.cam.ac.uk
CONTACT:Adrian Dawid
DESCRIPTION:One can extract geometric information about an algebraic varie
 ty by studying and comparing the different equivalence relations between i
 ts subvarieties\; these include algebraic\, homological\, and rational equ
 ivalence. An interesting example is the Ceresa cycle associated to a gener
 ic curve of genus g>2\, which is homologically but not algebraically trivi
 al. One might hope to use insights from mirror symmetry to understand how 
 comparing Lagrangians in a symplectic manifold can exhibit interesting sym
 plectic phenomena. Lagrangian cobordisms are known to be related to ration
 al equivalences of cycles in the mirror\, and we introduce algebraic Lagra
 ngian cobordisms mirroring algebraic equivalence. We illustrate with the L
 agrangian Ceresa cycle\, a Lagrangian in a symplectic 6-torus\, that this 
 notion captures non-trivial symplectic geometry.
LOCATION:CMS\, MR14
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