2–7 juil. 2018
IHES
Fuseau horaire Europe/Paris

Towards a definition of the Fukaya-Seidel category with coefficients over the complex plane

2 juil. 2018, 11:30
1h
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35, route de Chartres 91440 Bures-sur-Yvette (France)

Orateur

C. Simpson

Description

In this segment of our joint work in progress with Haiden, Katzarkov and Pandit, we consider a graph in the plane. We propose a definition of the A-infinity category of objects over the graph, with coefficients in a fixed appropriate DG-category, including disk corrections corresponding to the regions in the plane cut out by the graph. We can write down an explicit set of A-infinity operations, and have a heuristic comparison with Abouzaid's definition that suggests why the A-infinity axioms should hold.

Documents de présentation

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