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SUMMARY:Calderon problem for connections - Mihajlo Cekic (Cambridge)
DTSTART:20160304T150000Z
DTEND:20160304T160000Z
UID:TALK64804@talks.cam.ac.uk
CONTACT:Christian Lund
DESCRIPTION:We consider the problem of determining the connection on a vec
 tor bundle from the knowledge of the associated Dirichlet-to-Neumann map. 
 This problem admits a natural gauge symmetry\, namely automorphisms fixing
  the boundary. In this talk we will discuss the approach based on Limiting
  Carleman Weights\, that allow us to construct the Complex Geometric Optic
 s solutions (CGO). We will shortly describe how to construct the CGOs from
  the Gaussian Beams\, which are approximate eigenfunctions of the Laplacia
 n that concentrate along geodesics. A reconstruction procedure will be dis
 cussed in the case of line bundles and also the interaction between the un
 ique continuation principle and the holonomy with the Cauchy data.
LOCATION:MR13
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