İzmir Mathematics Days – III
October 1-2, 2020

İMG 2020

One of two aims of İzmir Mathematics Days is to provide a platform for graduate students to share their works, ideas and experiences and to build research and mentoring networks. The other one is to encourage undergraduate math majors to pursue a career in Mathematics.

In the morning sessions, four colloquium talks will be given by the invited speakers to introduce their research of interests. The afternoon sessions are devoted to graduate students and young researchers. All students are welcome to apply.

Due to COVID-19 pandemic, the workshop will be held ONLINE.

All abstracts must be same language with talk. The talk can be either in English or in Turkish but this must be clearly stated in the submission process.

Invited Speakers 

Ali Sinan Sertöz  (Bilkent University)

Öklid ve Elemanlar
Öklid bir dahi miydi yoksa “coğrafya kaderdir” sözünde kaçınılmazlığı ima edilen bir fani miydi? Elemanlar adlı kitabın kopyalarının tarih içinde geçirdiği serüvenler nelerdir ve bugüne kalan kopyaların durumu nedir? “Orijinal metin” diye bir şey var mı? Elemanlar adlı kitabın yazarının, yüzyıllar sonra matematik dünyasına katılacak fikirlere sanki kendi yaşadığı dönemde ulaşımı varmış gibi bir duyguya sürüklenmekte haklı mıyız?
Konuşmanın ilk yarısında bu sorulara cevap arayacağız; verileri, hurafeleri ve tahminleri birbirine karıştıracağız ve kendi gerçeğini kurma sorumluluğunu dinleyiciye bırakacağız.
Konuşmanın ikinci yarısında Elemanlar’dan seçme önermelere değineceğiz. Bazı önermeler sadeliğiyle bizi büyüler. Bazı önermeler tüm karmaşıklıklarına rağmen o günün teknikleriyle kanıtlanabilmiş olmalarıyla bizi büyüler. Bazı önermeler ise bizi sadece büyüler.
Öklid’i Vincent Millay’ın bir şiiriyle selamlayarak konuşmamızı sonlandıracağız.

Fatma Altunbulak Aksu (Mimar Sinan Fine Arts University)

Codes in Group Algebras: Group Codes
Berman and MacWilliams independently define group codes as ideals in finite group algebras. Group codes are studied by using methods in ring and character theory. Many linear codes can be realized as group codes. For example, cyclic codes can be detected as ideals in finite group algebras of cyclic groups. Reed Muller codes over F_p can be realized as ideals in modular group algebra of an elementary abelian p-group. Realizing codes as group codes have many advantages, because group codes have richer algebraic structures. I will give base material for group codes and then I will talk about some problems. If time permits, I will state some recent results which are joint work with İpek Tuvay.

Kağan Kurşungöz (Sabancı University)

Integer Partitions and Partition Identities
We will go over the basic definitions of integer partitions.  We will discuss why we are interested in partition identities.  After describing several major partition identities, we will sketch their proofs, then talk about their history and influence.  

Münevver Tezer (Middle East Technical University)

The Need and Applications of Numerical Analysis
Numerical analysis concerns with the development and study of methods/algorithmsfor solving mathematical problems. First, a mathematical model is formulated foran observed phenomenon in biology, chemistry, physics, economics or any other sci-entific or engineering discipline. In practice most of these mathematical models aredifficult or impossible to solve analytically. In order to solve such a model approx-imately on a computer, the problem is approximated by a discrete one. Numericalanalysis designs the methods and algorithms which approximately solve the math-ematical problem efficiently, accurately and reliably.In this talk, we shall illustrate the need and the use of the general ideas behind nu-merical methods giving some examples from physical situations. Recent applicationsare shown from magnetohydrodynamic duct flows.