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CATEGORIES:Lecture, Colloquia, Seminar
DESCRIPTION:Speaker: Denis Auroux\, (Harvard University)\n\nAbstract: The m
irror of a genus g curve can be viewed as a trivalent configuration of 3g3
rational curves meeting in 2g2 triple points\; more precisely\, this singul
ar configuration arises as the critical locus of the superpotential in a 3-
dimensional Landau-Ginzburg mirror. In joint work with Alexander Efimov and
Ludmil Katzarkov\, we introduce a notion of Fukaya category for such a con
figuration of rational curves\, where objects are embedded graphs with triv
alent vertices at the triple points\, and morphisms are linear combinations
of intersection points as in usual Floer theory. We will describe the cons
truction of the structure maps of these Fukaya categories\, attempt to prov
ide some motivation\, and outline examples of calculations that can be carr
ied out to verify homological mirror symmetry in this setting.
DTEND:20210916T223000Z
DTSTAMP:20211024T123938Z
DTSTART:20210916T210000Z
LOCATION:
SEQUENCE:0
SUMMARY:M-Seminar: Lagrangian Floer theory for trivalent graphs and HMS for
curves
UID:tag:localist.com\,2008:EventInstance_37713932546171
URL:https://events.k-state.edu/event/m-seminar_lagrangian_floer_theory_for_
trivalent_graphs_and_hms_for_curves
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