Seminar: Multiple complexes and Cech cohomology

Time: 14:00 to  16:00 Ngày 10/06/2024

Venue/Location: C101, VIASM

Báo cáo viên:Prof. Marc Chardin, Sorbonne University, France

Abstract:The concept of a multiple complex is a natural extension of the notion of a double complex; it was already present in the thesis work of Verdier defining derived categories. Its total (co)homology and the total (co)homology of some subcomplexes or quotient complexes could be related in several ways. Applied to Cech cohomology, this provides inside on relations between local cohomology with respect to sums and to products that extends the Mayer-Vietoris long exact sequence, in (at least) two ways. Our contribution is joint work with Rafael Holanda and José Naéliton.