25 nov 2014 -- 15:00
Aula Picone, Dip. Matematica, Università "La Sapienza", Roma
Abstract.
We will introduce our recent results on the use of persistent homology in the field of complex networks. In particular we will show how persistence homology can be used to discriminate the variation of the brain functional connectome under the influence of psilocybin extracted from magic mushrooms. We, furthermore give account of our theorem which shows that a persistence module on a finite poset P can be obtained from the filtration of a graph weighted over P.