BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Caterina Stoppato (Università di Firenze) DTSTART:20210325T133000Z DTEND:20210325T143000Z DTSTAMP:20260423T021505Z UID:GeoSem/21 DESCRIPTION:Title: Dual quaternions and slice functions: theory and applications\nby Cate rina Stoppato (Università di Firenze) as part of Geometry Seminar - Unive rsity of Florence\n\n\nAbstract\nThe talk will present some recent results in the theory of slice functions\nover alternative *-algebras\, introduce d by Ghiloni and Perotti in 2011 as\na generalization of the theory of qua ternionic slice regular functions\nlaunched by Gentili and Struppa in 2006 .\nThe talk will focus on the algebra of dual quaternions. For this algebr a\,\nan explicit classification of zero divisors is available. This makes it\npossible to study the zero sets of slice functions\, slice regular fun ctions\nand polynomials over this algebra in full detail.\nThis study can be applied to the open problem of factorizing motion\npolynomials over dua l quaternions. The polynomials in this class\,\nintroduced by Hegedüs\, S chicho\, and Schröcker in 2013\, correspond to\nrational rigid body motio ns in the Euclidean 3-space. Their factorizations\ncorrespond to linkages producing the same motions\, so their\nclassification is relevant to mecha nism science.\nThe main results presented have been proven jointly with Gr aziano\nGentili and Tomaso Trinci.\n LOCATION:https://researchseminars.org/talk/GeoSem/21/ END:VEVENT END:VCALENDAR