BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Lukas Kühne (The Hebrew University of Jerusalem) DTSTART:20200428T162000Z DTEND:20200428T165000Z DTSTAMP:20260423T024544Z UID:NASO/18 DESCRIPTION:Title: Ge neralised Matroid Representations: Universality and Decidability\nby L ukas Kühne (The Hebrew University of Jerusalem) as part of Max Planck Ins titute nonlinear algebra seminar online\n\n\nAbstract\nA matroid is a comb inatorial object based on an abstraction of linear independence in vector spaces and forests in graphs. It is a classical question to determine whet her a given matroid is representable as a vector configuration over a fiel d. Such a matroid is called linear.\n\nThis talk addresses generalisations of such representations over division rings or matrix rings which are cal led skew linear and multilinear matroids respectively.We will describe a g eneralised Dowling geometry that encodes non commutative equations in matr oids. This construction allows us to reduce word problem instances to skew linear or multilinear matroid representations.\n\nThe talk is based on jo int work with Rudi Pendavingh and Geva Yashfe.\n LOCATION:https://researchseminars.org/talk/NASO/18/ END:VEVENT END:VCALENDAR