[MD-sorular] Bayramda NMK'da calistay

Ali Nesin anesin at bilgi.edu.tr
4 Eyl 2009 Cum 15:26:48 EEST


Konu: Yerel Cisimler

Egitmenler: Ozlem Beyarslan, Selcuk Demir ve Ali Nesin

Tarihler: 19-23 Eylul (Bayramda)

Fiyat: Gunluk 30 TL.

Burs konusunda comert davranilacaktir.



Program (4 gunde yapilabildigi kadariyla)



Selcuk Demir

Normed fields, examples, completions.

Discrete valuation rings.

p-adic integers (Z_p) and numbers (Q_p), formal power series, radius of convergence, Laurent series.

Non-archimedean valuations, Cauchy sequences, limits and series.

Hensel's Lemma and its applications.

Topology of Q_p and Z_p.

Haar measure and Integration.



Ozlem Beyarslan

Resultant of two polynomials.

Discriminant of a polynomial

p-adic numbers as inverse limits.

Ostrowski's Teorems: Classification of valuations on the rationals and Classification of Archimedean valuations.



Ali Nesin

Transcendental extensions of valued fields.

Algebraic extensions of complete fields, ramification.

p-adic fields and non-completeness of the algebraic closure of Q_p.

Algebraic extensions of incomplete fields.

Algebraic number fields.



Ali





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