[Turkmath:8081] MSGSÜ, General Seminar, by Martin Hils
KIVANÇ ERSOY
ersoykivanc at gmail.com
19 Ara 2011 Pzt 14:06:45 EET
Mimar Sinan Fine Arts University
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>> Department of Mathematics
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>> *General * *Seminar*
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>> *Martin Hils *
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* (Paris VII)*
> *"Imaginaries in fields with additional structure"*
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>> An imaginary in a first order structure M is a finite tuple modulo a
>> definable equivalence relation. In some cases (e.g. real closed or
>> algebraically closed fields), every imaginary is interdefinable with a
>> tuple from the structure, and M is said to eliminate imaginaries. In
>> general, one aims to classify imaginaries up to interdefinability.
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> In this talk, I will give an overview on what is known about
>> imaginaries in fields with extra structure (valuation, derivation,
>> automorphism etc.) Using the classification of imaginaries in algebraically
>> closed valued fields (Haskell-Hrushovski-Macpherson) together with results
>> on higher amalgamation in valued fields of residue characteristic 0, I will
>> indicate how imaginaries of "finite rank" may be classified in valued
>> fields with automorphism.
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>> *Place :* MSGSÜ Faculty of Science and Arts (Bomonti)
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>> *Date :* December 22st, 2011 Thursday, 14:30
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>> You can find the directions to Bomonti campus in the following link:
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>> http://maps.google.com/maps/ms?ie=UTF8&source=embed&oe=UTF8&msa=0&msid=213795424289905705960.0004a0d39a9a5543f043b
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