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2018-02-18  04:47 hrs.

Valuations, di erential equations and arcs

J.M. Aroca
Universidad de Valladolid

Resumen:

Roughly speaking, valuations and derivations are measures of contact, derivations are algebraic differential equations and after Kaplansty’s theorem valuations may be considered as generalized arcs. Then there are two problems:

  • Relation between valuation and derivation corresponding to "generalized arc solution of a differential equation"
  • Structure of the space of arcs solution of a differential equation.
In our talk we will explain the history and the actuality of both problems

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