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Description: |
In this talk, based on joint work with Stephane Geudens and Marco Zambon, we develop the deformation theory of symplectic foliations, i.e. regular foliations equipped with a leafwise symplectic form. The main result is that each symplectic foliation is attached with a cubic L-infinity algebra controlling its deformation problem. Indeed, we establish a one-to-one correspondence between the small deformations of a given symplectic foliation and the Maurer-Cartan elements of the associated L-infinity algebra. Further, we prove that, under this one-to-one correspondence, the equivalence by isotopies of symplectic foliations agrees with the gauge equivalence of Maurer-Cartan elements. Finally, we show that the infinitesimal deformations of symplectic foliations can be obstructed.
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Date: |
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| Start Time: |
14:00 |
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Speaker: |
Alfonso Tortorella (CMUP, Univ. Porto)
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Institution: |
CMUP, Univ. Porto
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Place: |
Remote via Zoom: https://videoconf-colibri.zoom.us/j/87570781829
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| Research Groups: |
-Geometry
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See more:
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