BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Maxim Grigoriev DTSTART:20250521T162000Z DTEND:20250521T180000Z DTSTAMP:20260423T023009Z UID:GDEq/137 DESCRIPTION:Title: B ackground fields and symmetries in the gauge PDE approach\nby Maxim Gr igoriev as part of Geometry of differential equations seminar\n\nLecture h eld in room 303 of the Independent University of Moscow.\n\nAbstract\nWe d evelop an extension of the (presympletic) gauge PDE approach to describe l ocal gauge theories with background fields. It turns out that such theorie s correspond to (presymplectic) gauge PDEs whose base spaces are again gau ge PDEs describing background fields. As such\, the geometric structure is that of a bundle over a bundle over a given spacetime. Gauge PDEs over ba ckgrounds arise naturally when studying linearisation\, coupling (gauge) f ields to background geometry\, gauging global symmetries\, etc. Less obvio us examples involve parameterised systems\, Fedosov equations\, and the so -called homogeneous (presymplectic) gauge PDEs. The latter are the gauge-i nvariant generalisations of the familiar homogeneous PDEs and they provide a very concise description of gauge fields on homogeneous spaces such as higher spin gauge fields on Minkowski\, (A)dS\, and conformal spaces. Fina lly\, we briefly discuss how the higher-form symmetries and their gauging fit into the framework using the simplest example of the Maxwell field.\n LOCATION:https://researchseminars.org/talk/GDEq/137/ END:VEVENT END:VCALENDAR