Variations on the theme of volume

Tommaso Pacini
(University of Turin)
Seminar
Wednesday, 21 February, 2018, at 16:15-17:15, in Aud. D3 (1531-215)
Abstract:

The standard volume functional can be defined for any submanifold: the "flip side" of this generality is that it generally does not capture any special geometric features of the submanifold. Lagrangian submanifolds are an important exception: in this case the volume functional has several important properties related to ambient curvature, maslov indices, etc.

Joint work with J Lotay (UCL) has showed that, by adding an appropriate weight function, we can extend this theory from the symplectic to the complex category, also obtaining several new features. The seminar will provide a broad survey of these results.

Organised by: QGM
Contact person: Cristiano Spotti, Martin de Borbon & Roberta Iseppi