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Knotted Strings in the plane Neslihan Güğümcü, Technical University of Athens Date and Time: 15/03/2019, 10:00 Place: B256 Abstract: Planar curves have been studied since the time of Gauss. Gauss was one of the first to notice that they can be handled combinatorially by codes (named as Guass codes) that are strings of labels encoding self-intersections. Whitney classified all immersed ... Read more Knotted Strings in the plane |
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Symmetric polynomials: A personal retrospective Halil Oruç, DEU Abstract: Vandermonde matrix and interpolation, elementary and complete symmetric functions, combinatrorial identities and Blossoms. Date and Time: 01/03/2019, 10:00 Place: B256, DEU mathematics department |
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Schnirelmann’s Density and Additive Number Theory Selçuk Demir, DEU Abstract: Schnirelmann Density will be defined and its relation to basis properties of sequences of integers will be explained. Some classical results, namley the theorems of Schnirelmann, Mann and Erdos will be discussed. Date and Time: 22/01/2019, 10:00 Place: B256 |
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Distribution of Prime Numbers Haydar Göral, (DEU) Abstract: This talk will be on the sum of reciprocals of primes and the probability of choosing a prime number. Date: 11/01/2019, Time: 10:15 Place: The room B259, Mathematics department, DEU |
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Genus of complex projective algebraic curves 2 2019 January 4: Celal Cem Sarıoğlu (DEU) Abstract: In this talk, we will introduce how can we compute the arithmetic and geometric genus of an irreducible projective algebraic curve and how they are related to the genus of an oriented Riemann surface. Time: 10:15 Place: Room B259 |
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Applications of the Regularity Lemma Doğan Bige, Koç University December 21, Time: 10:15, Place: B259 |
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Genus of complex projective algebraic curves Celal Cem Sarıoğlu (DEÜ) December 14, Time:10:15, Place: B259 Abstract: From the Geometry-Topology courses everyone knows the number of holes of an orientable compacts surface is known as a genus,and it is related with its Euler characteristic. On the other hand, in algebraic geometry, there are two related definitions of genus of an irreducible projective ... Read more Genus of complex projective algebraic curves |
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Misusing elliptic curves in key agreement protocols Berkant Ustaoğlu (IYTE) November 30, time: 10:15, place: B259 Abstract: Cryptography intersects various scientific fields. Achieving true security is a highly non-trivial task. One of the many reasons is easy miscommunication among the various fields. This talk will illustrate the above idea: initially we will develop a model for secure and authentic key establishment. Then ... Read more Misusing elliptic curves in key agreement protocols |
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Congruent Number Problem Hikmet Burak Özcan Date&Time: November 23, Friday, 10:15 Abstract: In this talk, we will first mention about the importance of rational points on curves and show the correspondence between Pythagorean triples and rational points on the unit circle. Secondly, we will introduce a well known arithmetic problem, congruent number problem and show that the congruent number problem ... Read more Congruent Number Problem |
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Arithmetica İzmir 1 Date: November 16, 2018 Place: Dokuz Eylül University, Mathematics Department, B255 Invited speakers Alp Bassa, Boğaziçi University Ayhan Günaydın, Boğaziçi University Şermin Çam Çelik, Özyeğin University Doğa Can Sertbaş, Cumhuriyet University Ayhan Günaydın, Boğaziçi Üniversitesi Title: Polynomial Exponential Equations Abstract: Let V be an algebraic set in C^{2n} over complex numbers. We would like to find a generic element of ... Read more Arithmetica İzmir 1 |
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Introduction to Elliptic Curves Beste Akdoğan, Dokuz Eylül University Date&Time: November 9, Friday, 10:15 Abstract: In this talk, we introduce the notion of elliptic curves. First, we present geometric and algebraic interpretations of elliptic curves. Later, we talk about the set of rational points on elliptic curves and mention Mordell’s theorem, which states that the set of rational points on an elliptic curve is a finitely generated ... Read more Introduction to Elliptic Curves |
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Infinitude of Primes and Primes in Arithmetic Progressions Haydar Göral, Dokuz Eylül University Date: 26/10/2018, Friday, Time: 10:15 Abstract: We first give two proofs of the infinitude of primes using topology and geometry. Then, we will see the connection between the Riemann zeta function and the reciprocal sum of prime numbers. Lastly, we will discuss how this idea leads us to Dirichlet’s theorem on primes in ... Read more Infinitude of Primes and Primes in Arithmetic Progressions |
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Around the Szemerédi Theorem 3 Selçuk Demir, Dokuz Eylül University Date: 19/10/2018, Friday, Time: 10:15 Abstract: This will be the third of a series of talks devoted to some topics around the Sezemerédi Theorem. We briefly recall what we did in the first two talks, and then we show the relation between the Szemerédi theorem and the Ergodic theory. Place: Dokuz Eylül Univ., Tınaztepe Campus, ... Read more Around the Szemerédi Theorem 3 |
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Around the Szemerédi theorem 2 Selçuk Demir, Dokuz Eylül University Date: 05/10/2018, Friday, Time: 10:15 Abstract: This will be the second of a series of talks devoted to some topics around the Sezemerédi Theorem. We briefly recall what we did in the first talk, and then we state the results that lead us to the Szemerédi theorem. Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, ... Read more Around the Szemerédi theorem 2 |
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Infinitude of primes, topology, geometry and combinatorics Haydar Göral, Dokuz Eylül University Abstract: We will give different proofs of the infinitude of primes using topology, geometry and combinatorics. Date: 28/09/2018, Friday, Time: 10:00 Place: Dokuz Eylül Univ., Tınaztepe Campus, Faculty of Science, Department of Mathematics, Room B206. |