[Turkmath:6643] Seminer Duyurusu: MSGSU Matematik Bolumu Genel Semineri

[Mustafa Topkara]

Mimar Sinan Güzel Sanatlar Üniversitesi Matematik Bölümü Genel Seminerleri

Arf-Kervaire Invariant Problem
Konuşmacı: Prof. Dr. Turgut Önder (Ortadoğu Teknik Üniversitesi)

Yer :  408 No'lu Amfi
MSGSÜ Fen Edebiyat Fakültesi (Beşiktaş)

Zaman :  6 Kasım 2009 Cuma, 11:00

Not: Konuşma İngilizce olacaktır.

Öz:
Arf-Kervaire invariant is an invariant of an n-dimensional framed
differentiable manifold for n=4k+2. It is the Arf invariant of a certain
quadratic form on the (2k+1)-dimensional homology group of the manifold with
the coefficient group integers modulo 2, and it takes the values 0 or 1.

The problem of determining the dimensions n in which there are n-dimensional
framed manifolds of Arf-Kervaire invariant 1 is called the Arf-Kervaire
invariant problem. It is the key to several important problems in algebraic
and geometric topology, for instance the classification problems of higher
dimensional manifolds. On 21 April 2009 Michael Hopkins, Douglas Ravenel and
Michael Hill announced that they have completed the solution of this
45-year-old problem except for the dimension n=126. On 26 August 2009 they
have published a 99 pages preprint in the arXive explaining the details of
the proof.

In this talk we shall outline for a general audience the Arf-Kervaire
invariant problem and the developments leading to its solution.
-------------- sonraki bölüm --------------
Bir HTML eklentisi temizlendi...
URL: http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20091103/64bbb620/attachment-0001.htm 
-------------- sonraki bölüm --------------
Yazı olmayan bir eklenti temizlendi...
İsim: MSGSU Genel Seminer.doc
Tür: application/msword
Boyut: 30208 bayt
Tanım: kullanılamıyor
Url: http://yunus.listweb.bilkent.edu.tr/pipermail/turkmath/attachments/20091103/64bbb620/attachment-0001.doc