arithmetic

Around the Szemerédi theorem 1

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Selçuk Demir, Dokuz Eylül University

Date: 21/09/2018, Friday, Time: 10:00

Abstract: This will be the first of a series of talks devoted to some topics around the Sezemerédi Theorem. In this first talk I will concentrate on the van der Waerden theorem. I will formulate a dynamical version of this beautiful theorem. I will try to state the results in a way which will lead us to a similar theorem leading us to the Szemerédi theorem.

Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.

Dedekind Zeta Function and The Analytic Class Number Formula

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Çağatay Altuntaş, Koç University
Date: 02/08/2018, Time: 10:30
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206.
Abstract: In this talk, we make an introduction to  number fields and cover some properties of their ring of integers. Next, we define the class group of a number field. Finally, we define Dedekind zeta function for a number field and give the analytic class number formula.

References

P. Samuel, Algebraic Theory of Numbers, Hermann, 1970.
F. Jarvis, Algebraic Number Theory, Springer, 2014.