Haydar Göral, Dokuz Eylül University.
Date: 28/02/2020, Friday, Time: 10:30.
Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.
Abstract: In this talk, we will talk on unit fractions, filters and non-standard analysis.
Haydar Göral
Hales-Jewett Theorem
Sedef Taşkın (DEU)
Date and Time: 21/02/2020, 10:30
Place: B256
Abstract: In this talk, we introduce the Hales-Jewett Theorem and its density version. As implications of this theorem, we will prove van der Waerden’s theorem and Szemeredi’s theorem.
Hales-Jewett Theorem and Some Applications
Sedef Taşkın (DEU)
Date and Time: 27/12/2019, 13:30
Place: B256
Abstract: In this talk, we introduce the Hales-Jewett Theorem (HJT) which is one of the cornerstones of Ramsey Theory. As implications of this theorem, we will prove the van der Waerden’s theorem and the Gallai-Witt’s theorem. We talk about some generalizations of the HJT.
A survey on multiplicative number theory
Haydar Göral (DEU)
Date: 13/12/2019, Time: 13:30
Place: B256
Abstract: We will survey the main results of multiplicative number theory starting from Euler and Dirichlet to the recent past.
Prime Ideal Theorem
Hikmet Burak Özcan
06/12/2019, Time: 13:30
Place: B256
Abstract: In this talk, firstly we will introduce the notion of number fields and we will mention the ring of integers for a given number field. Then, we will talk about the Prime Ideal Theorem, which is the number field generalization of the prime number theorem. It was proved by Edmund Landau in 1903. This theorem provides an asymptotic formula for the prime ideal counting function, which counts the number of prime ideals in the ring of integers of K with norm at most n.
Multiple Zeta Values
Burak Turfan (DEU)
Place: B256
Date: 29/11/2019, Time: 13:30
Abstract: In this talk, I will introduce the Riemann zeta function and multiple zeta values. Then, I will show some identities between the Riemann zeta function and harmonic sums. Also, we prove Euler’s formula. I will find some linear relations between the Riemann zeta function and multiple zeta values.
Variants of the Szemeredi Theorem – 2
Selçuk Demir (DEU)
Place: B256
Date and Time: 15/11/2019, 13:15
Abstract: We sill start talking about geometric versions of the Szemeredi theorem.In particular, we plan to discuss the version of the Katznelson-Weiss theorem due to Bourgain. The Katznelson-Weiss theorem says that if A is a subset of the plane with positive upper density, then for every m large enough, there are points x and y of A such that the distance between x and y is equal to m. The necessary background from harmonic analysis will be recalled.
Arithmetica Izmir 3
Place: Dokuz Eylül University, Mathematics Department, B256
Date: 8 November 2019
Our workshop is supported by TMD (MAD). We are grateful to them for this support.
Invited speakers
Ahmet Muhtar Güloğlu, İ. D. Bilkent Üniversitesi
Faruk Temur, İzmir Yüksek Teknoloji Enstitüsü
Emrah Sercan Yılmaz, Boğaziçi Üniversitesi
Program
10:00—10:30: Welcome coffee break
10:30—11:45: Faruk Temur
11:45—13:30: Lunch break
13:30—14:45: Ahmet Muhtar Güloğlu
14:45—15:15: Coffee break
15:15—16:30: Emrah Sercan Yılmaz
Abstracts and details:
http://math.deu.edu.tr/wp-content/uploads/2019/10/arit-izmir3-program.pdf
Variants of the Szemeredi Theorem
Selçuk Demir (DEU)
Place: B256
Date and Time: 11/10/2019, 10:30
Abstract: We are going to recall the ideas leading to the Szemeredi theorem and its variations including some continuous and geometric versions. We will try to explain the analytical background when needed. In later parts we plan to go into details.
Algebraic Functions in terms of Generalised Hypergeometric Functions
Mutlu Koçar, Galatasaray University
24/05/2019, Time: 10:30
Place: B256