Buongiorno,
Vi ricordo che il prossimo seminario di Geometria e Topologia sarà tenuto da Alfonso Tortorella (Università di Salerno) e si terrà Martedì 24 Giugno alle ore 14:30 presso l'aula Seminari.
Per gli interessati ad andare a pranzo con lo speaker, l'appuntamento è in atrio alle 12:45.
In allegato titolo e abstract
Titolo: Deformations of Symplectic Foliations
Abstract: 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.
A presto,
Carlo e Filippo