Cohomology in algebra, geometry, physicsand statistics

Deformations of symplectic foliations

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.
Join ZOOM at
https://cesnet.zoom.us/j/99598413922?pwd=c2Y0TENuZHdDQ3hDWEkySFI3YWo3QT09
Meeting ID: 995 9841 3922
Passcode: cartan