Sala delle Riunioni (Dip. Matematica Applicata)

Definable henselian valuation rings

Tipo Seminario: 
Alexander Prestel

A valuation ring O of a field K is called "henselian" if every polynomial in one variable with coefficients from O that has a simple zero in the quotient of O w.r.t. its maximal ideal, has already a zero in K. Such henselian fields are for example  local fields and all generalized power series fields. In all these examples the valuation ring O remains fixed under all field automorphisms from K. The reason for this is that O can be defined by a first order formula in the language of rings.

Data Seminario: 
Tuesday, March 17, 2015
Sala delle Riunioni (Dip. Matematica Applicata)
Ora Fine: 
Saturday, January 1, 0000 - 15:00
Universität Konstanz, Germania
Ora Inizio: 
Saturday, January 1, 0000 - 13:30
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