報告題目：Deformations of Symplectic Foliations
報 告 人：Alfonso Giuseppe TORTORELLA
所在單位：University of Salerno
報告時間：2024年11月7日 20:00-21:00
報告地點：Zoom Id: 904 645 6677，Password: 2024
會議鍊接：
https://zoom.us/j/9046456677?pwd=Y2ZoRUhrdWUvR0w0YmVydGY1TVNwQT09&omn=89697485456
報告摘要: 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∞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∞ 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.
報告人簡介：Alfonso Giuseppe TORTORELLA received his PhD from the University of Florence in 2017, and is currently an Assistant Professor of Geometry at the University of Salerno. His research focuses on the geometry of Poisson and related structures, and studies mainly deformation problems in Poisson geometry.
