[mk-duyuru] Matematik Koyu'nde yerel cisimler calistayi

[Ali Nesin]

Calistay
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 Nesin