[Turkmath:8234] Galatasaray Üniversitesi Matematik Bölümü Seminer duyurusu 20 mart salı

Susumu Tanabe tanabesusumu at hotmail.com
14 Mar 2012 Çar 22:09:14 EET


Değerli Liste Üyeleri;
 Galatasaray Üniversitesi Matematik Bölümü Seminerleri kapsamında 20 Mart (Salı) günü Tokyo University of Agriculture and Technology Prof. Jiro Sekiguchi konuşmacı olacaktır. Konuşma ile ilgili detaylı bilgi aşağıdadır:
   Saygılarımla;
     Susumu Tanabé
 

Gün: 20 Mart (Salı) 16:00 
Yer: Galatasaray Üniversitesi FEF10.
Konuşmacı: Prof. Jiro Sekiguchi
Başlık/Titre: Free Divisors and Painlevé Equations after M. Kato Özet/Abstract:
 
 
Özet/Résumé: First of all, I will explain the definition of free divisors and that of systems of uniformization equations with singularities along such hypersurfaces which are examples of holonomic systems. These two notions are formulated by K. Saito around 1970's.
Then I restrict my attention to the case of hypersurfaces of an affine three dimensional space.
I will show some examples of free divisors in this case and uniformization equations.
It turns out that the systems of uniformization equations are closely related with Painlev\'{e} equation and its algebraic solutions.
Typical examples of free divisors are hypersurface defined by
the discriminant of real and complex reflection groups.
Recently M. Kato (Univ. of Ryukyus) clarified the relationship
between systems of uniformization equations with singularities along the discriminant sets of reflection groups of rank three and algebraic solutions of Painlevé equation.
In my talk I will take a survey of free divisors, uniformization equations,
and discuss topics related with the results of M. Kato.
  		 	   		  
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