slideshow 3

Cohomology in algebra, geometry, physicsand statistics

Deformations of symplectic foliations

Speaker’s name: 
Alfonso Tortorella
Speaker’s affiliation: 
KU Leuven


Wednesday, 6. January 2021 - 11:30 to 12:30
In this talk, based on joint work with Stephane Geudens and Marco Zambon, I develop the deformation theory of symplectic foliations, i.e. regular foliations equipped with a leaf-wise symplectic form. The main result is that each symplectic foliation is attached with an L_\infty algebra controlling its deformation problem. Indeed, we establish a one-to-one correspondence between the small deformations of a given symplectic foliation and the MC elements of the associated L_\infty algebra. Further, we prove that, under this one-to-one correspondence, the equivalence by isotopies of symplectic foliations agrees with the gauge equivalence of MC elements. Finally, we show that the infinitesimal deformations of symplectic foliations can be obstructed.

The lecture room and ZOOM shall be opened at 11.15 and closed at 13.00.
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