Séminaire Physique mathématique ICJ

The Fukaya category of a log symplectic surface

par Dr Charlotte Kirchhoff-Lukat

Europe/Paris
Fokko du Cloux (Bâtiment Braconnier)

Fokko du Cloux

Bâtiment Braconnier

Description

Floer theory and Fukaya categories constitute powerful invariants of symplectic manifolds. As a first step in the effort to extend these techniques to Poisson structures with degeneracies, I will present the construction of the Fukaya category for log symplectic Poisson structures on oriented surfaces, with a focus on the additional features of the theory arising from the degeneracy locus.