Cohomology in algebra, geometry, physicsand statistics

Deformations of symplectic foliations

Speaker’s name:

Alfonso Tortorella

Speaker’s affiliation:

KU Leuven

Place:

ZOOM

Date:

Wednesday, 6. January 2021 - 11:30 to 12:30

Abstract:

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.

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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

-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------

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