[Turkmath:8044] Galatasaray Üniversitesi Matematik Bölümü Semineri 8 Aralık=Arnaldo Garcia

[Susumu Tanabe]

Değerli Liste Üyeleri;
 
Galatasaray Üniversitesi Matematik Bölümü Seminerleri kapsamında 8 Aralık (Perşembe) günü IMPA (Rio de Janeiro) Profesör Dr. Arnaldo Garcia konuşmacı olacaktır. 
Prof. Garcia TÜBİTAK desteğiyle bu dönemi arasında Türkiye’deki misafir araştırmacı (Sabancı Üniversitesi) olarak çalışıyormuş. Konuşma ile ilgili detaylı bilgi aşağıdadır:
   Saygılarımla;
     Susumu Tanabé
 
Gün: 8 Aralık (Perşembe) 16:00 
Yer: Galatasaray Üniversitesi FEF9.
Konuşmacı/Speaker - Arnaldo Garcia - IMPA at Rio de Janeiro.
Başlık /Title - Asymptotics on codes and on curves over finite fields.
 
Özet/Abstract- The famous bound of Hasse-Weil for the number of rational points on curves over finite fields (equivalent to the Riemann Hypothesis in this context) was shown by Ihara to be weaker as the genus of the curve grows. For a finite field with q elements, Ihara then introduced the quantity A(q) that controls the asymptotic behaviour of the number of rational points as the genus goes to infinity.To deal with A(q) one is led to consider infinite towers of algebraic curves and to study their limits for the ratios of (number of rational points) / (genus). We are going to motivate this interesting mathematical subject by its connection to the asymptotics in Coding Theory, which is a result due to Tsfasman-Vladut-Zink based on a construction of Goppa of linear codes from algebraic curves over finite fields.
 
  		 	   		  
-------------- next part --------------
An HTML attachment was scrubbed...
URL: <http://yunus.listweb.bilkent.edu.tr/cgi-bin/mailman/private/turkmath/attachments/20111129/74f06f23/attachment.htm>