Batiment Fermat, amphi F
Title : Around Abhyankar valuations.
Abstract : I shall describe the valuation rings of rational Abhyankar valuations and the role of these valuations in local uniformization.
Title : Hironaka’s characteristic polyhedron.
Abstract : Hironaka’s characteristic polyhedron is an important tool for studying the local nature of a singularity. I will highlight its role in resolution of singularities and discuss some of its crucial properties. This involves joint work with Vincent Cossart.
Title : Key polynomials in simple extensions of valued fields and the local uniformization problem in arbitrary characteristic.
Batiment Buffon, amphi Bertin
Title : The role of defect and splitting in finite generation of extensions of associated graded rings along a valuation.
Title : Mc Kay principle and Hasse principle.
Titre : Conte de Saint-Vincent.
Résumé : Travaux mathématiques de Vincent Cossart.