Gabriel Paternain (University of Cambridge)
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Padelford C-36
Abstract:
I will describe how to recover a Hermitian connection form the source-to-solution map of a cubic non-linear wave equation inMinkowski space; the equation is naturally motivated by the Yang-Mills-Higgs equations. The recovery is reduced to a geometric problem of independent interest and not considered before: recovering a connection from its broken non-abelian X-ray transform along light rays.