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Dense subfields of henselian fields, integer parts, and nasty valuations on rational function fields

Presented by: 
F-V Kuhlmann [Saskatchewan]
Date: 
Thursday 16th June 2005 - 14:00 to 15:00
Venue: 
INI Seminar Room 2
Abstract: 

We show that every henselian field of residue characteristic 0 admits a dense subfield. Certain special cases allow subfields with very interesting additional properties. We also discuss the existence and size of integer parts and of complements to valuation rings.

University of Cambridge Research Councils UK
    Clay Mathematics Institute The Leverhulme Trust London Mathematical Society Microsoft Research NM Rothschild and Sons