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 of monotone bijections between neighborhoods of 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.