IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar
Density of Fibers for the Filtered Fukaya Category of a Cotangent Bundle
A well-known result of Abouzaid says that the wrapped Fukaya category of a cotangent bundle is generated by one cotangent fiber. In the filtered case this is not true, but the filtered Fukaya category comes with a notion of interleaving distance. We will see that the iterated cones on the cotangent fibers generate a dense subcategory. The proof makes use of an embedding of the Fukaya category in the category of sheaves. This answers a question of Biran, who gave another proof with Ambrosioni and Cornea.
This is a joint work with Claude Viterbo and Bingyu Zhang.
Date & Time
April 24, 2026 | 9:15am – 10:45am
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04/24/2026 09:15
04/24/2026 10:45
IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar
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Topic: Density of Fibers for the Filtered Fukaya Category of a Cotangent Bundle
Speakers: Stéphane Guillermou, Nantes Université
More: https://www.ias.edu/math/events/iasprincetonmontrealparistel-aviv-symplectic-geometry-zoominar-33
A well-known result of Abouzaid says that the wrapped Fukaya category
of a cotangent bundle is generated by one cotangent fiber. In the
filtered case this is not true, but the filtered Fukaya category comes
with a notion of interleaving distance. We will see that the iterated
cones on the cotangent fibers generate a dense subcategory. The proof
makes use of an embedding of the Fukaya category in the category of
sheaves. This answers a question of Biran, who gave another proof with
Ambrosioni and Cornea.
This is a joint work with Claude Viterbo and Bingyu Zhang.
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Remote AccessSpeakers
Stéphane Guillermou, Nantes Université