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SUMMARY:Towards a symplectic cycle theory: the Lagrangian Ceresa cycle - A
 lexia Corradini\, Cambridge
DTSTART:20260204T141500Z
DTEND:20260204T151500Z
UID:TALK243649@talks.cam.ac.uk
CONTACT:Dhruv Ranganathan
DESCRIPTION:I will begin with a general introduction to some of the ideas 
 I am interested in\, for which a guiding motivation is to understand a “
 Lagrangian version” of the theory of algebraic cycles (Chow groups\, Gri
 ffiths groups\, etc)\, as suggested by mirror symmetry.  \nI will present 
 an instance in which algebraic behaviour can be recovered symplectically\,
  by a Lagrangian version of the classical Ceresa cycle story. The _Ceresa 
 cycle_ of a curve is a 1-cycle in its Jacobian and provided one of the fir
 st examples of a homologically trivial cycle which is not _algebraically_ 
 trivial. The Lagrangian construction involves the tropical version of the 
 Ceresa cycle story\, due to Zharkov. It also requires introducing an equiv
 alence relation on Lagrangians ‘mirror’ to algebraic equivalence\, cal
 led _algebraic Lagrangian cobordism_. 
LOCATION:CMS MR13
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