Şeker Bayramında Yerel Cisimler Çalıştayı
Konu: Yerel Cisimler
Eğitmenler: Özlem Beyarslan, Selcuk Demir ve Ali Nesin
Tarihler: 19-23 Eylul (Bayramda)
Seviye: İleri lisans ve lisansüstü
Başvuru: Başvuru için aslicankorkmaz [at] nesinvakfi [dot] org adresine yazabilirsiniz.
Ücret: Günlük 30 lira (Ücrete 4 öğün yemek, çay, su ve temel ihtiyaçlar dahildir.)
Not: Kurban Bayramında program devam edebilir.
Program
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.
