Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
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A Complex Geometry Day

Quaternionic toric manifolds

Giulia Sarfatti (Dipartimento di Matematica e Informatica "Ulisse Dini", Università di Firenze)

created by daniele on 28 Mar 2015
modified on 27 Apr 2015

15 may 2015 -- 12:10

Sala Conferenze, Collegio Puteano, Pisa

Abstract.

In this seminar I will introduce a possible counterpart to classical toric manifolds in the quaternionic setting.
This definition is inspired by the Delzant procedure that, in the complex setting, allows to construct symplectic toric manifolds starting by a special class of polytopes.
Besides their own interest, we will see that some of the examples obtained by means of this procedure can be interpreted as quaternionic manifolds which are differentiable in the sense of quaternionic slice regularity.
This is a work in progress in collaboration with G. Gentili e A. Gori.

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