Date/heure
30 mai 2024
15:45 - 16:45
Lieu
Salle de conférences Nancy
Oratrice ou orateur
Salma Kuhlmann (Universität Konstanz)
Catégorie d'évènement Séminaire de Théorie des Nombres de Nancy-Metz
Résumé
(Joint Work with Michele Serra.)
In his paper » Automorphisms of fields of formal power series » (Bull. Am. Math. Soc. 50, 1944) Otto Schilling described the automorphism group of k((t)), the field of Laurent series with coefficients in a ground field k and exponents in the group of integers. In our paper « The automorphism group of a valued field of generalised formal power series » (J. Algebra 605, 2022) we generalise his results to the case when the exponents lie in an arbitrary abelian group. In particular, our results apply to a variety of such fields, e.g. to the field of Puiseux series, of multivariate rational functions, of multivariate Laurent series, or to the field of surreal numbers.
The talk will be self contained talk and geared towards a general audience.