BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maxim Grigoriev DTSTART:20251105T162000Z DTEND:20251105T180000Z DTSTAMP:20260423T023021Z UID:GDEq/145 DESCRIPTION:Title: G auge PDEs on spaces with asymptotic boundaries\nby Maxim Grigoriev as part of Geometry of differential equations seminar\n\n\nAbstract\nI plan  to discuss a general setup for studying the boundary structure of gauge f ields on spaces with asymptotic boundaries. The main example of this situa tion is asymptotically-anti-de-Sitter (AdS) or flat gravity and (optionall y) gauge fields living on such a background. A suitable tool to study syst ems of this sort  in a geometrical way is the so-called gauge PDE on spac es with (asymptotic) boundaries. When applied to the case of asymptotical ly-AdS gravity this gives the generalization of the familiar Fefferman-Gr aham construction that also takes the subleading boundary value into accou nt. When additional (gauge) fields are present this generalizes the known gauge PDE approach to boundary values of AdS gauge fields. An interesting  feature is that the gauge PDE induced on the boundary is itself a fibre bundle of gauge PDEs (also known as gauge PDE over background)\, where th e base describes the leading (conformal geometry in the case of gravity) w hile the fiber correspond to the subleading (conserved currents).\n LOCATION:https://researchseminars.org/talk/GDEq/145/ END:VEVENT END:VCALENDAR