[Turkmath:1255] MSGSÜ Matematik Seminerleri, 28.4.2016, Henning Stichtenoth

[Kıvanç Ersoy]

Değerli liste üyeleri

MSGSÜ Matematik Bölümü Genel Seminerinde bu haftaki konuşmacımız Sabancı
Üniversitesi'nden Henning Stichtenoth.
Konuşma başlığı ve özeti aşağıdadır.

Tutukluluğum süresince destek mesajlarını ileten, benim yerime seminerler
veren, imza toplayan, bana mektup yazan, destek olan tüm meslektaşlarıma,
öğrencilerime ve hocalarıma sonsuz teşekkürlerimi sunarım.

Kıvanç Ersoy



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*MSGSÜ Mathematics Seminar*

Henning Stichtenoth

*Rational points on curves over finite fields*

This talk is about the number of rational points N(C) of an algebraic curve
C over a finite field. The classical theorem by Hasse-Weil gives sharp
upper and lower bounds for N(C) in terms of the genus g(C) and the
cardinality q of the underlying field. However, these bounds can be
improved if the genus is large with respect to q. This leads to the concept
of “asymptotic bounds”.

We discuss results on asymptotic bounds, and give a partial answer to the
question, for which pairs of integers (N,g) there exist curves with N(C)=N
and g(C)=g.


Place: MSGSÜ Bomonti Campus, Department of Mathematics
Date: 28.04.2016 Thursday, 16:00
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