BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Mikhail Markov DTSTART:20251224T162000Z DTEND:20251224T180000Z DTSTAMP:20260423T024838Z UID:GDEq/149 DESCRIPTION:Title: B oundary calculus for gauge fields on asymptotically AdS spaces\nby Mik hail Markov as part of Geometry of differential equations seminar\n\n\nAbs tract\nI plan to discuss the applications of the gauge PDE approach to the study of the boundary structure of gauge fields on the conformal boundary of asymptotically AdS (also known as Poincaré-Einstein) manifolds.\n\nTh e main result is the construction of an efficient calculus for the gauge P DE induced on the boundary\, which allows one to systematically derive Wey l-invariant equations induced on the boundary. The so-called obstruction e quations (e.g. Bach in dimension d=4)\, higher conformal Yang-Mills equati ons\, and GJMS operators are derived systematically\, as the constraints o n the leading boundary value of\, respectively\,  the metric\, YM field\, and the critical scalar field. In particular\, the higher conformal Yang- Mills equation in dimension d=8\, obtained within this framework appears t o be new. The Weyl-invariant equations on the subleading boundary data for these fields are also derived.\n\nThe approach is very general and  can be considered as an extension of the Fefferman-Graham construction that is applicable to generic gauge fields and explicitly takes into account both the leading and the subleading sector.\n LOCATION:https://researchseminars.org/talk/GDEq/149/ END:VEVENT END:VCALENDAR