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Pure Injective Modules and Finite Representation Type Meltem GÜLLÜSAÇ, Dokuz Eylül University.Date: 6th of March, 2020, Friday, Time: 10.30 – 12.00.Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Classroom B256.Abstract: The aim of this talk is to introduce pure injective modules and some decomposition problems related to pure injectivity. |
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Unit Fractions 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. |
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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. |
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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. |
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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. |
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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 ... Read more Prime Ideal Theorem |
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Multiple Zeta Values Burak Turfan (DEU)Place: B256Date: 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. |
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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 ... Read more Variants of the Szemeredi Theorem – 2 |
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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 ... Read more Arithmetica Izmir 3 |
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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. |
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Algebraic Functions in terms of Generalised Hypergeometric Functions Mutlu Koçar, Galatasaray University 24/05/2019, Time: 10:30 Place: B256 |
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The Analytic Continuation of the Riemann Zeta function Sedef Taşkın (DEU) 03/05/2019, Time: 10:00 Place: B256 In his epoch-making memoir of 1860 Riemann showed that the key to the deeper investigation of the distribution of the primes lies in the study of zeta function. Riemann proved that the zeta function can be continued analytically over the whole plane and its only pole being ... Read more The Analytic Continuation of the Riemann Zeta function |
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Arithmetica İzmir 2 Place: Dokuz Eylül University, Mathematics Department, B256 Date: 10 May 2019 Our workshop is supported by TMD (MAD). We are grateful to them for this support. Deadline for application is 2 May 2019 Application form click Invited speakers Ali Ulaş Özgür Kişisel, Middle East Technical University Ayberk Zeytin, Galatasaray University Ekin Özman, Boğaziçi University Yıldırım Akbal, Atılım University ... Read more Arithmetica İzmir 2 |
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Rational Points on Curves Hikmet Burak Özcan (DEU) Date&Time: 29/03/2019, 10:00 Place: B256 In this talk, after defining rational points on a curve we will address the problem of finding the rational points on curves. We will give a recipe in order to generate a new rational point from already known ones. After that we will introduce the notion ... Read more Rational Points on Curves |
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Probabilistic Methods in Number Theory Doga Can Sertbaş, Cumhuriyet University Date and Time: 22/03/2019, 10:00 Place: B256 In 1947, Erdos gave a lower bound for the diagonal Ramsey numbers R(k,k). His proof contains purely probabilistic arguments where the original problem is not related to the probability theory. This pioneering work of Erdos gave rise to a new proof technique which ... Read more Probabilistic Methods in Number Theory |