Joao Pita Costa: Towards a topos foundation of persistence 2

Speaker: Joao Pita Costa (in a joint work with Primož Škraba and Mikael Vejdemo-Johansson)

Abstract: In this second talk we will describe the locale of all persistence barcodes H, discuss aspects of the associated dual sober spaces and present possible topos of sheaves over H. We shall also mention other possible approach by a topos construction on the frame of reals, and look at some applications in persistent homology.