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Séminaire de Géométrie

Ordered groups of regular growth rates

Vincent Bagayoko

( (Paris IMJ) )

Salle 2

le 14 juin 2024 à 11:00

Certain sets of germs at ++ \infty of monotone bijections between neighborhoods of ++ \infty form groups under composition. This is the case for germs of functions definable in an o-minimal structure, for certain germs lying in Hardy fields, as well as for more abstract functions defined on fields of formal series, such as transseries. 

In this talk I will describe properties of the resulting ordered groups, and show that they can be studied using valuation-theoretic tools adapted to this non-commutative context.