Collection Model Theory and Valued Fields
Organizer(s)
Date(s)
05/03/2018
- 09/03/2018
Zero dimensional valuations on equicharacteristic noetherian local domains.
A study of those valuations based, in the case where the domain is complete, on the relations between the elements of a minimal system of generators of the value semigroup or of the associated graded algebra. The main idea is to present the ring as a quotient of a generalized power series ring instead of trying to present it `a la Kaplansky as a subring of a generalized ring of Puiseux series. The talk will emphasize the description of the valuation rings of Abhyankar valuations and the approximation of non-Abhyankar valuations by Abhyankar semivaluations.
