BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Gunnar E. Carlsson DTSTART:20210218T170000Z DTEND:20210218T180000Z DTSTAMP:20260409T093327Z UID:ToposInstituteColloquium/3 DESCRIPTION:Title: Relative topology\, motion planning\, and coverage proble ms\nby Gunnar E. Carlsson as part of Topos Institute Colloquium\n\n\nA bstract\nAlgebraic topology produces invariants that capture aspects of th e shape of a space\, or in the case of topological data analysis. Although these invariants are in general quite rich\, they are somewhat sparse in low dimensions. On the other hand\, it is possible to consider comma categ ories of spaces\, for example the category of spaces with reference to a f ixed base space and morphisms respecting the reference map. When one does this\, one obtains a much richer set of invariants. I will discuss how to apply this kind of construction in the setting of evasion problems for sen sor nets and more general motion planning problems.\n LOCATION:https://researchseminars.org/talk/ToposInstituteColloquium/3/ END:VEVENT END:VCALENDAR