#### 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

### Video:

### Presentación:

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