BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Jacob Kryczka (LAREMA\, University of Angers) DTSTART:20210503T160000Z DTEND:20210503T162500Z DTSTAMP:20260423T024618Z UID:JGPW2021/3 DESCRIPTION:Title: Local gauge field theory from the perspective of non-linear PDE geometry< /a>\nby Jacob Kryczka (LAREMA\, University of Angers) as part of Junior Gl obal Poisson Workshop II\n\n\nAbstract\nHigher structures and derived geom etry have become ubiquitous tools when studying the mathematics of quantum field theory. Specifically\, shifted Poisson structures and their quantiz ation have found application in quantum field and string theory with deriv ed symplectic geometry providing a powerful reinterpretation of the AKSZ f ormalism.\n\nIn the most `basic' setting\, these notions appear when descr ibing the homotopical space of critical points of an action functional.\nR ather than start with the critical locus\, we would like to study the corr esponding space of solutions of the equation of motion and the natural geo metric structures it possesses. The upshot of this type of an approach is that we can study non-linear PDEs which are not necessarily of Euler-Lagra nge form.\n\nIn my talk I will describe a functorial approach to non-linea r PDEs in the presence of symmetries. We will pay special attention to des cribing gauge field theories and the derived covariant phase space\, equip ped with its canonical shifted symplectic form.\n LOCATION:https://researchseminars.org/talk/JGPW2021/3/ END:VEVENT END:VCALENDAR