Gencler bakin asagida ne var. Gideriz di mi hep beraber? Orada kalmamiz da mumkun dilerseniz. Ben boyle kalmali falan yapalim derim. Siz ne dersiniz? Cabuk cevap ! :)
Sinan Eden..... If I were immortal, I would kill myself right now.
--- On Mon, 12/13/10, Kursat Aker <ak...@gursey.gov.tr> wrote:
From: Kursat Aker <ak...@gursey.gov.tr>
Subject: Cebir-Geometri Günleri, 24-25-26 Aralık 2010, TÜBİTAK - FEZA GÜRSEY ENSTİTÜSÜ
To: "ilke engin" <ilke...@gmail.com>, "Sinan Eden" <sina...@yahoo.com>, ersoy...@gmail.com,
fya...@gmail.com, "Celal Cem" <cela...@gmail.com>, "Ayberk Zeytin" <ayb...@gmail.com>, "Samet" <sametk...@gmail.com>, "Berkin Malkoc" <mal...@gmail.com>, hi...@itu.edu.tr, "Ayse Kara" <ka...@yildiz.edu.tr>, seny...@msgsu.edu.tr
Date: Monday, December 13, 2010, 4:39 AM
Merhaba,
Aşağıdaki programın ilk günü, özelllikle (İstanbul
Üniversiteleri'nde okuyan)
matematik lisans öğrencilerine yönelik olacak. İlgili öğrencilere bu
duyuru aktarabilrseniz sevinirim.
Duyurunun son halini görmek için,
http://www.gursey.gov.tr/new/algeo1012/
web sayfasını kullanabilirsiniz.
Saygılarımla,
Kürşat Aker
Cebir-Geometri Günleri
24-25-26 Aralık 2010
TÜBİTAK - FEZA GÜRSEY ENSTİTÜSÜ
Konuşmaların Dili: Cebir-Geometri Günlerinde konuşmaların
dili, olabildiğince Türkçe olacak. Bazı konuşmaların tümü
ya da bazı kısımları İngilizce olması olasıdır.
Konuşmacılar:
- Mahir Bilen Can, Tulane Üniversitesi
- Kıvanç Ersoy, Mimar Sinan Güzel Sanatlar Üniversitesi ve
Salerno Üniversitesi
- Sevgi Harman, İTÜ
- Refik Keskin, Sakarya Üniversitesi
- Celal Cem Sarıoğlu, DEÜ, GSÜ, FGE
- Ayberk Zeytin, ODTÜ
24 Aralık 2010, Cuma
Lisans Öğrencileri Günü
- Ayberk Zeytin: Did Galois know that women belong to
outer space?
We will try to make a completely elementary introduction to
Galois action on algebraic curves defined over number fields.
We will state open problem as we proceed. The talk is aimed
towards undergraduate students, thus only basic knowledge of
complex analysis and algebra will be assumed.
- Mahir Bilen Can:
- Kıvanç Ersoy: Cebirsel gruplar ve Lie tipi basit
gruplar
In this talk we will give some basic notions of the theory of
algebraic groups. An algebraic group is an algebraic variety,
which is also a group where the group operations are also
variety morphisms. We will give basic definitions related to
the subject, briefly mention about the conjugacy classes of
semisimple and unipotent elements. We will explain the
relations between algebraic groups and simple groups of Lie
type. We will present some important results on the subject,
mainly related to the classification of finite simple groups.
25 Aralık 2010, Cumartesi
- Kıvanç Ersoy: Çözülebilir olmayan, sonsuz Camina
grupları
Let G be a
group. An element a G
is called an anticentral element if aG=aG . A non-perfect
group is called a Camina group if every element xG G
is anticentral. Finite groups containing an anticentral
element are solvable by a result of F. Ladisch \cite{ladisch}.
In this work, we will prove some results on infinite locally
finite Camina groups and we will give a method to construct
infinite non-solvable Camina groups. Indeed, we will prove
that for each connected algebraic group, there are countably
many non-isomorphic infinite non-locally solvable Camina
groups.
This is an ongoing study under the supervision of Prof.
Mercede Maj and Prof. Patrizia Longobardi of University of
Salerno. This study is supported by TÜBİTAK BİDEB 2219
International Post Doctoral Research Fellowship. The speaker
thanks TÜBİTAK for the support.
- Mahir Bilen Can: Unipotent invariant (complete)
quadrics
The variety of complete quadrics, which is used by Schubert
in his famous computation of the number of space quadrics
tangent to 9 quadrics in general position, is a particular
compactification of the space of non-singular quadric
hypersurfaces in n dimensional complex projective space.
In this talk, towards a theory of Springer fibers for
complete quadrics, I will describe our recent work on the
unipotent invariant complete quadrics. These results involve
interesting combinatorics, and in particular, give a new
q-analog of Fibonacci numbers as the Poincare polynomial of a
unipotent fixed subvariety of quadrics.
This is joint work with Michael Joyce.
- Refik Keskin: Fibonacci and Lucas congruences and their
applications
In this paper we obtain some new identities containing
Fibonacci and Lucas numbers. These identities allow us to give
some congruences concerning Fibonacci and Lucas numbers such
as; L2mn+k  −1  m+1 nLkmod Lm , F2mn+k−1m+1nFkmod Lm , L2mn+k−1mnLkmod Fm and F2mn+k−1mnFkmod Fm . By the
achieved identities, divisibility properties of Fibonacci and
Lucas numbers are given. Then it is proved that there is no
Lucas number Ln
such that Ln=L2ktLmx2 for m 1
and k 1 .
Moreover it is proved that Ln=LmLr
is impossible if m
and r
are positive integers greater than 1 .
Moreover, a conjecture related to the subject is given.
Keywords: Fibonacci numbers; Lucas numbers;
Cogruences.
References:
- D. M. Burton, Elementary Number Theory, McGraw
-Hill Comp. Inc., 1998.
- J. H. E. Cohn, On Square Fibonacci Numbers, J.
Lond. Math. Soc., 39 (1964), 537-540.
- J. H. E. Cohn, Square Fibonacci Numbers, etc.,
Fibonacci Quarterly, 2 (1964), 109-113.
- M. Farrokhi D. G., Some Remarks On The Equation Fn=kFm
In Fibonacci Numbers, Journal of Integer Sequences, 10
(2007), 1-9.
- R. Keskin and B. Demirturk, Some New Fibonacci and
Lucas Identities by Matrix Methods,International
Journal of Mathematical Education in Science and Technology.
(accepted for publication)
- T. Koshy, Fibonacci and Lucas numbers with
applications , John Wiley and Sons, Proc., New
York-Toronto, 2001.
- I. Niven, H. S. Zuckerman, and H. L. Montgomery, An
Introduction to the Theory of Numbers, John Wiley
& Sons, Inc., Canada, 1991.
- N. Robbins, Fibonacci numbers of the form px2
, where p
is prime, Fibonacci Quarterly, 21 (1983), 266-271.
- N. Robbins, Fibonacci numbers of the form cx2
, where 1
 c1000 ,
Fibonacci Quarterly 28 (1990), 306-315.
- N. Robbins, Lucas numbers of the form px2
, where p
is prime, Inter. J. Math. Math. Sci. 14 (1991),
697-703.
- S. Vajda, Fibonacci and Lucas numbers and the golden
section, Ellis Horwood Limited Publ., England, 1989.
- C. Zhou, A general conclusion on Lucas numbers of the
form px2
where p is
prime, Fibonacci Quarterly 37 (1999), 39-45.
- Ayberk Zeytin: Combinatorics and Cohomology
For the sake of understanding the absolute Galois group many
sophisticated methods are/have been used. Among them
combinatorial ones have proven themselves to be useful. In
this talk, we will begin with combinatorial objects,
triangulations/quadrangulations, and then realise them as
classes in some cohomology group, which we will try to
describe explicitly.
26 Aralık 2010, Pazar
- Sevgi Harman: Radically perfect prime ideals in
commutative rings
- Celal Cem Sarıoğlu: Orbifold Riemann yüzeyleri ve
jeodezik fonksiyonlar
Konaklama:
Cebir-Geometri Günlerine katılacak katılımcılardan isteyenler
(İstanbul içi ya da dışı) TÜBİTAK - Feza Gürsey Enstitüsü'nde
ücretsiz olarak konuk edilecektir. Düzenlemenin en sağlıklı
şekilde yapılması için İstanbul içinden ya da dışından gelecek tüm
katılımcıların başvuru formunu doldurması gereklidir.
Konaklama tarihleri: 23 - 26 Aralık 2010
Kontenjan: 30 kişi
Program, Istanbul Matematik Gündemindedir:
http://www.google.com/calendar/embed?src=jdf754c331751cbt6q9vc281es%40group.calendar.google.com&ctz=Europe/Istanbul
Başvuru için: http://www.gursey.gov.tr/apps/app-frm-gen.php?id=algeo1012
Son başvuru tarihi: 21 Aralık 2010
Programda konuşma vermek için lütfen iletişime geçiniz.
Düzenleyiciler:
Celal Cem Sarıoğlu, DEÜ
Kürşat Aker, FGE
Web sayfası: http://www.gursey.gov.tr/new/algeo1012/
İletişim: ak...@gursey.gov.tr
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