---------------------------- Original Message ---------------------------- Subject: Ciclo "Baby geometri" - Promemoria del seminario di David Petrecca From: "Daniele Angella" angella@mail.dm.unipi.it Date: Mon, April 8, 2013 10:41 am To: simone.calamai@sns.it --------------------------------------------------------------------------

Ciao a tutti,

vi ricordiamo che domani martedì 9 aprile, alle 11:30 - 12:30 in Sala Seminari del Dipartimento di Matematica, ci sarà il seminario dei baby-geometri:

- speaker: David Petrecca (Università di Pisa) - Titolo: Introduction to Sasakian geometry

- Abstract:

Sasakian geometry can be thought as the odd dimensional companion of Kähler geometry. As the latter merges together Riemannian, symplectic and complex geometries, a Sasakian manifold is simultaneously Riemannian, contact and CR and moreover it is sandwiched between two Kähler geometries, the one on its Riemannian cone and the one transversal to its Reeb foliation. Furthermore the behavior of such foliation gives a rough classification of Sasakian manifolds in three classes. See the survey [Sparks, Sasaki-Einstein manifolds, 2011] or the monograph [Boyer, Galicki, Sasakian geometry, 2007]. In this talk, after defining the Sasakian property and explaining the triple geometric structure on such manifolds, some of their properties and structure theorems will be presented, followed by examples in each of the above classes. Finally, if time allows, I will give some ideas about the deformation theory of Sasakian structures and their application to the deformation of (traced) Sasaki-Ricci solitons, the area where my current research attempts are lying.

A domani,