BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Nicolò Drago (Universität Würzburg) DTSTART:20200615T150000Z DTEND:20200615T153000Z DTSTAMP:20260416T065232Z UID:IML-SMR/15 DESCRIPTION:Title: On Maxwell's equations on globally hyperbolic spacetimes with timelike bo undary\nby Nicolò Drago (Universität Würzburg) as part of Scatterin g\, microlocal analysis and renormalisation\n\n\nAbstract\nWe study Maxwel l's equations as a theory for smooth $k$-forms on globally hyperbolic spac etimes with a timelike boundary. For that\, we investigate the wave operat or $\\Box_k$ with appropriate boundary conditions and characterize the spa ce of solutions of the associated initial and boundary value problem under reasonable assumptions. Subsequently we focus on the Maxwell operator $\\ delta d$. First we introduce two distinguished boundary conditions\, dubbe d $\\delta d$-tangential and $\\delta d$-normal boundary conditions. Asso ciated to these we introduce two different notions of gauge equivalence fo r the solutions of the Maxwell's operator and we prove that in both cases \, every equivalence class admits a representative abiding to the Lorentz gauge. We then construct a unital $*$-algebras $\\mathcal{A}$ of observabl es for the system described by the Maxwell's operator. Finally we prove th at\, as in the case of the Maxwell operator on globally hyperbolic spaceti mes with empty boundary\, $\\mathcal{A}$ possesses a non-trivial center.\n LOCATION:https://researchseminars.org/talk/IML-SMR/15/ END:VEVENT END:VCALENDAR