Por Duarte Costa (Faculdade de Ciências, ULisboa, CEMS.UL).
O seminário pretende apresentar o trabalho atualmente desenvolvido por Duarte Costa, Mário Edmundo e Luca Prelli.
Abstract: This talk intends to address some on-going work on conic o-minimal sheaves, being developed by Mário Edmundo, Luca Prelli and me. The purpose of this work is to extend the parallel between the classical topological sheaf theory, and the o-minimal sheaf theory setting constructed by Mário Edmundo and Luca Prelli.
Following the thread left from the first talk, we will recall some basic notions of the concept of a sheaf and then discuss how sheaves over the conic o-minimal site relate to sheaves on the o-minimal spectrum, which gives rise to the concept of conic o-minimal sheaves, through an equivalence of categories. This establishes a nice parallel between the classical topological case, and the later-developed subanalytic case.