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CATEGORIES:Junior Geometry Seminar
SUMMARY:Calderon problem for Yang-Mills connections - Miha
 jlo Cekić (DPMMS)
DTSTART;TZID=Europe/London:20170127T150000
DTEND;TZID=Europe/London:20170127T160000
UID:TALK69574AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/69574
DESCRIPTION:We will consider the problem of identifying the co
 nnection up to gauge equivalence from the associat
 ed Dirichlet-to-Neumann map in the case of Yang-Mi
 lls connections. I will sketch the proof in the sm
 ooth case for line bundles. The approach is based 
 on picking a special gauge in which the Yang-Mills
  equations become elliptic and using a unique cont
 inuation principle for elliptic systems for identi
 fication near the boundary. Along the way\, I will
  try to explain how pseudodifferential operator sy
 mbol calculus plays its role in the proof.
LOCATION:MR13
CONTACT:
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