19/09/2009 - 23/09/2009
- Tarih: 19-23 Eylül 2009
- Amaç: Şeker Bayramında Yerel Cisimler Çalıştayı
- Ücret: Günlük 30 lira (Ücrete 4 öğün yemek, çay, su ve temel ihtiyaçlar dahildir.)
- Eğitmenler: Özlem Beyarslan, Selcuk Demir ve Ali Nesin
- Seviye: İleri lisans ve lisansüstü
- Başvuru: Başvuru için aslicankorkmaz@nesinvakfi.org adresine yazabilirsiniz.
- Not: Kurban Bayramında program devam edebilir.
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Selçuk Demir
Normed fields, examples, completions.
Discrete valuation rings.
p-adic integers (Zp) and numbers (Qp), formal power series, radius of convergence, Laurent series.
Non-archimedean valuations, Cauchy seuences, limits and series.
Hensel`s Lemma and its applications.
Topology of Qp and Zp.
Haar measure and Integration. -
Özlem Beyarslan
Resultant of two polynomials.
Discriminant of a polynomial.
p-adic numbers as inverse limits.
Ostrowski`s Teorems: Valuations on the rationals and Archimedean valuations.
-
Ali Nesin
Transcendental extensions.
Algebraic extensions of complete fields, ramification.
p-adic fields and non-completeness of the algebraic closure of Qp.
Algebraic extensions of incomplete fields.
Algebraic number fields.