ICTP Mathematics Seminar - Tuesday 4 August at 14:30

[Margherita Di Giovannantonio]

M A T H E M A T I C S   S E M I N A R S   2015


Tuesday, 4 August, at 14:30 hrs.


Rafael Herrera (CIMAT, Mexico)


Title:
Twisted Pure Spinors And Riemannian Holonomy


Abstract:
In this talk I will introduce a generalization of the notion of pure 
spinor with the aim of characterizing Berger's special Riemannnian 
holonomy groups in a standard way.
Recall that complex structures are characterized by pure spinors and 
Kaehler structures are characterized by (projectively) parallel pure 
spinors.
Thus, we will consider twisted spin groups $Spin(n)\times_{\mathbb{Z}_2} 
Spin(r)$, their representations, and twisted spinors which induce even 
Clifford algebra representations on $\mathbb{R}^n$. After defining 
twisted spin structures, this algebraic set up enables us to 
characterize special Riemannian holonomies spinorially.


VENUE:  Luigi Stasi Seminar Room (ICTP Leonardo da Vinci Building, first 
floor)