Lagrangian cobordism and Chow groups
Nick Sheridan (University of Edinburgh)
Abstract: Homological mirror symmetry predicts an equivalence of categories, between the Fukaya category of one space and the derived category of another. We can "decategorify" by taking the Grothendieck group of these categories, to get an isomorphism of abelian groups. The first of these abelian groups is related, by work of Biran-Cornea, to the Lagrangian cobordism group; the second is related, via the Chern character, to the Chow group. I will define the Lagrangian cobordism and Chow groups (which is much easier than defining the categories). Then I will describe joint work with Ivan Smith in which we try to compare them directly, and find some interesting analogies.
algebraic geometrydifferential geometrysymplectic geometry
Audience: researchers in the topic
( video )
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Organizers: | Jose Mourao*, Rosa Sena Dias, SÃlvia Anjos* |
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