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From November 22, 2009 to December 5, 2009
This Week (November 22, 2009 to November 28, 2009)
Next Week (November 29, 2009 to December 5, 2009)
Speaker: Laurel Miller-Sims (Smith College)
Time: Monday, November 30, 2009 at 5:05 pm
Place: Exley Science Center 618 (Wesleyan)
Abstract: Given a valued field (K,v), we say that a rational function f(x)
in K(x) is integral or infinitesimal definite on the definable set S
if v(f(b)) ≥ 0 or v(f(b))>0, respectively, for each b in S.
I will give algebraic characterizations of integral definite and
infinitesimal definite rational functions in various model-complete
theories of valued fields, analogous to the Positivstellensatz and
Negativstellensatz for real closed fields.
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Additional Information
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