[Turkmath:9016] reminder: George Andrews'in İstanbul ziyareti (17-18 Mayıs Cuma-Cumartesi) / George Andrews visiting İstanbul (May 17-18 Fri-Sat)
Kağan Kurşungöz
kursungoz at sabanciuniv.edu
16 Mayıs 2013 Per 09:55:02 EEST
Değerli Matematikçiler,
Amerikan Matematik Topluluğu (AMS) eski başkanı ve ABD Ulusal
Bilimler Akademisi Üyesi George Andrews (Pensilvanya Eyalet Üniv.)
detayları aşağıda verilen iki konuşma yapmak üzere 17-18 Mayıs'ta
(Cuma-Cumartesi) İstanbul'da olacak. Andrews q-serileri, tamsayı
parçalanışları ve Ramanujan'ın matematiği üzerine çalışmaktadır.
Alanında ihtimal ki dünyanın en ileri gelen araştırmacısıdır.
Seminerlere (özellikle ikincisine) öğrenciler de davetlidir.
Öğrencilerinize de bu duyuruyu ulaştırabilirseniz vaktiniz için
teşekkürler.
Dear Mathematicians,
George Andrews (Penn State), previous president of the AMS and
member of the National Academy of Sciences of the U.S., will be visiting
İstanbul on May 17-18 (Friday-Saturday) to give two talks. Details are
below. Andrews works on q-series, integer partitions and Ramanujan's
mathematics. He is arguably the most prominent researcher in the area.
Students are most welcome to the seminars, especially to the latter
one. Thanks in advance for your time if you could forward this message
to your students.
Kağan Kurşungöz
Tarih (Date): Mayıs (May) 17 Cuma (Friday)
Zaman (Time): 16:00-17:00 (4:00 p.m. - 5:00 p.m.)
seminerden önce çay-kahve-kurabiye ikramı olacaktır
(tea-coffee-pastries will be served before the talk)
Yer (Loc'n): Sabancı Üniv. Karaköy İletişim Merkezi Giriş katı
(Sabancı Univ. Karaköy Communication Center Ground Floor)
Başlık (Title): Ramanujan at 125
Özet (Abstract): Last year, 2012, was the 125th anniversary of Srinivasa
Ramanujan's birth. In his short career, he had a profound impact on much
of the research in number theory that was to follow in the coming
century. This talk will begin with an account of the discovery of
Ramanujan's Lost Notebook in 1976 which provided a number of surprises.
Writing in 1919-1920, Ramanujan anticipated (and, in fact, had gone beyond)
many results found by others in the last half of the 20th century. I
shall discuss a number of his discoveries related to continued fractions,
partitions, and other number-theoretic topics. I will conclude with a
couple of stories about associated TV and film projects that arose because
of this discovery.
Tarih (Date): Mayıs (May) 18 Cumartesi (Saturday)
Zaman (Time): 13:00-14:00 (1:00 p.m. - 2:00 p.m.)
seminerden önce çay-kahve-kurabiye ikramı olacaktır
(tea-coffee-pastries will be served before the talk)
Yer (Loc'n): Sabancı Üniv. Karaköy İletişim Merkezi Giriş katı
(Sabancı Univ. Karaköy Communications Center Ground Floor)
Başlık (Title): Partitions, Compositions, and the Excitement of Ramanujan
Özet (Abstract): The theory of partitions concerns the representation of
integers as distinct sums of integers. For example, the
five partitions of 4 are 4, 3 + 1, 2 + 2, 2 + 1 + 1,
1 + 1 + 1 + 1.
Compositions take order into account. Thus there are 8
compositions of 4, namely 4, 3 + 1, 1 + 3, 2 + 2, 2 + 1 + 1,
1 + 2 + 1, 1 + 1 + 2, 1 + 1 + 1 + 1. Although seemingly more
complicated, compositions are much easier to study as we
shall see.
Euler was the first to study partitions seriously, and
many of his discoveries are still fundamental in the subject.
In this talk we introduce the basic ideas of partitions and
compositions. We limit the necessary background to arithmetic
and a little algebra.
The talk begins with an account of compositions. The ideas
turn out to be easily understood, and the scope of the subject
is easily comprehended. We then turn to partitions, the subject
that the Indian genius Ramanujan revolutionized. We note several
themes from Ramanujan's work suggested by our study of
compositions.
In each instance, we gain some appreciation of the depth and
surprise of Ramanujan's insights.
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