[Turkmath:3636] ODTÜ-Bilkent Cebirsel Geometri Semineri - Ali Sinan Sertöz 22.02.2019

[Bilkent Mathematics]

Değerli liste üyeleri, 

ODTÜ-Bilkent Cebirsel Geometri Seminerleri'nin gelecek toplantısı 22
Şubat'ta Bilkent Üniversitesi'nde yapılacaktır.

Konuşmacı: Ali Sinan Sertöz (Bilkent) 

"Arf Rings I" 

Özet: The aim of these two talks is to discuss the background and the
content of Arf's 1946 paper on the multiplicity sequence of an algebraic
curve branch. I will start by giving the geometric and algebraic
descriptions of a singular branch for a curve, describe its multiplicity
sequence obtained until it is resolved by blow up operations. Du Val defines
some geometrically significant steps of the resolution process and shows
that if the multiplicity sums up to those points are known then the whole
multiplicity sequence can be recovered by a simple algorithm. However all
this information must be encoded at the very beginning in the local ring of
the branch. The problem is then to decipher this data. 
This week I will mostly describe the background and explain what is involved
in actually finding these numbers. 
Arf's original article "Une interpretation algebrique de la suite des ordres
de multiplicite d'une branche algebrique", together with my English
translation can be found on: http://sertoz.bilkent.edu.tr/arf.htm 


Tarih: 22 Şubat 2019 Cuma, 15:40
Bilkent Matematik Bölümü Seminer Odası SA - 141 

Konuşma öncesinde çay-kurabiye ikramı yapılacaktır. 

İlgilenen herkes davetlidir. 

Bilkent Üniversitesi Matematik Bölümü
https://twitter.com/Bilkent_math