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Model Theory Seminar Deirdre Haskell
Title: Residue field domination in theories of valued fields
Abstract: The fundamental intuition in the model theory of valued fields is that a valued field with appropriate closure properties is controlled in some sense by its value group and residue field. The classical theorem of Ax-Kochen and Ersov states a version of this at the level of the theory of a henselian valued field of characteristic (0,0). In this talk, I will discuss some theorems for algebraically closed valued fields and real closed valued fields which give conditions on the value group and residue field for the isomorphism type of the field itself to be fixed. This is joint work with Clifton Ealy and Jana Marikova.I will provide background on valued fields and draw some pictures to help develop the intuition.
Date: Monday, February 20, 2017
Time: 5:00 pm
Location: Wean Hall 8201
Submitted by: Grossberg