BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Andrii Dmytryshyn (Örebro University) DTSTART:20240902T111500Z DTEND:20240902T120000Z DTSTAMP:20260417T004536Z UID:cam/38 DESCRIPTION:Title: Eig enstructures of low-rank matrix polynomials\nby Andrii Dmytryshyn (Ör ebro University) as part of CAM seminar\n\nLecture held in MV:L14.\n\nAbst ract\nChallenging and intriguing mathematical problems involving matrix po lynomials arise in various applications. These problems often revolve arou nd the eigenstructures of the polynomials\, emphasizing the importance of the eigenstructures. In this talk we consider the set of matrix polynomial s of bounded rank and degree and describe the eigenstructures that these p olynomials typically have\, so called generic eigenstructures. We also fin d such generic eigenstructures for the sets of symmetric and skew-symmetri c matrix polynomials. Notably\, these symmetries have drastic effect on ge neric eigenstructures\, for example\, on whether we can anticipate the app earance of eigenvalues in the eigenstructures or not. \nThis talk is prima rily based on joint work with Froilán Dopico and Fernando De Téran.\n LOCATION:https://researchseminars.org/talk/cam/38/ END:VEVENT END:VCALENDAR