BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Georgy Sharygin DTSTART:20251029T162000Z DTEND:20251029T180000Z DTSTAMP:20260423T023048Z UID:GDEq/143 DESCRIPTION:Title: V an den Berg double Poisson brackets on finite-dimensional algebras\nby Georgy Sharygin as part of Geometry of differential equations seminar\n\n Lecture held in room 303 of the Independent University of Moscow.\n\nAbstr act\nOne of the basic principles of algebraic noncommutative geometry is t he condition proposed by Kontsevich and Rosenberg that a "geometric" struc ture on a noncommutative algebra A should generate a similar ordinary\, "c ommutative" structure on its representation spaces $Rep_d(A)=Hom(A\,Mat_d( k))$. The concept of "double Poisson brackets" was introduced by van den B erg (and almost simultaneously\, in a slightly modified form\, by Crowley- Bovey) in 2008 as an answer to the question of which noncommutative struct ures correspond to Poisson brackets on representation spaces. The resultin g construction turned out to be quite rich and interesting\, however\, the vast majority of examples of such structures now deal with algebras A tha t are (close to being) free. In my talk\, based on a joint work with my ma ster's student A. Hernandez-Rodriguez\, I will describe some simple exampl es of how such structures look on finite-dimensional algebras.\n LOCATION:https://researchseminars.org/talk/GDEq/143/ END:VEVENT END:VCALENDAR