Extending valuations to formal completions
  This paper is an extended version of the talk given by Miguel Olalla at the International Conference on Valuation Theory in El Escorial in July 2011. Its purpose is to provide an introduction to our joint paper "Extending a valuation centered in a local domain to the formal completion" (Proc. London Math. Soc. (2012) 105 (3), 571-621) without grinding through all of its technical details. 
F. J. Herrera Govantes, M. A. Olalla Acosta, M. Spivakovsky and B.   Teissier
math.AG math.RA