BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vladimir Chetverikov DTSTART:20210203T162000Z DTEND:20210203T180000Z DTSTAMP:20260423T024832Z UID:GDEq/25 DESCRIPTION:Title: Co verings and multivector pseudosymmetries of differential equations\nby Vladimir Chetverikov as part of Geometry of differential equations semina r\n\n\nAbstract\nFinite-dimensional coverings from systems of differential equations are investigated. This problem is of interest in view of its re lationship with the computation of differential substitution\, nonlocal sy mmetries\, recursion operators\, and Backlund transformations. We show tha t the distribution specified by the fibers of a covering is determined by an integrable pseudosymmetry of the system. Conversely\, every integrable pseudosymmetry of a system defines a covering from this system. The vertic al component of the pseudosymmetry is a matrix analog of the evolution dif ferentiation. The corresponding generating matrix satisfies a matrix analo g of the linearization of the equation. We consider also the exterior prod uct of vector fields defining a pseudosymmetry. The definition of pseudosy mmetry is rewritten in the language of the Schouten bracket of multivector fields and total derivatives with respect to the independent variables of the system. A method for constructing coverings is given and demonstrated by the examples of the Laplace equation and the Kapitsa pendulum system.\ n LOCATION:https://researchseminars.org/talk/GDEq/25/ END:VEVENT END:VCALENDAR