BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Snorre Harald Christiansen (University of Oslo) DTSTART:20250310T121500Z DTEND:20250310T130000Z DTSTAMP:20260417T004444Z UID:cam/59 DESCRIPTION:Title: Mix ed finite elements from the point of view of category theory\nby Snorr e Harald Christiansen (University of Oslo) as part of CAM seminar\n\nLectu re held in MV:L14.\n\nAbstract\nI will first give an introduction to mixed finite elements by describing the main example (developed around 1980 by Raviart\, Thomas and Nédélec but closely related to constructions in dif ferential topology by de Rham\, Weil and Whitney in the 1940ies). Then I w ill relate how many fundamental constructions in finite element theory can be described in terms of category theory. I will not assume prior knowled ge of the latter. I will argue that the concept of a sheaf provides a unif ied framework for studying both continuous and discretized PDEs. Sheaf the ory was first introduced by Leray in the 1940ies and later clarified in th e Cartan seminar in the 1950ies with in particular algebraic geometry in m ind. Applied sheaf theory is now a developing subject in many fields.\n LOCATION:https://researchseminars.org/talk/cam/59/ END:VEVENT END:VCALENDAR