[Turkmath:8735] Galatasaray Bölümü semineri 10 Ocak

[Susumu Tanabe]

Değerli Liste Üyeleri;
Galatasaray Üniversitesi Matematik Bölümü Seminerleri kapsamında 10 Ocak  (perşembe günü) Dr. Thomas Hudson (University of Nottingham) konuşmacı olacaktır. Konuşma ile ilgili detaylı bilgi aşağıdadır:
   Saygılarımla;
     Susumu Tanabé
 
Date/ tarih:  10 Ocak  (perşembe günü) 11:00 
Place /yer: Galatasaray Üniversitesi FEF 8.
 
Speaker/ konuşmacı: Thomas Hudson 
 
Titre/ başlık: : An extension of Schubert polynomials for connected K-theory using algebraic cobordism.
 
Abstract/özet: Given a suitably generic morphism of vector bundles over a smooth scheme X, the Chow ring fundamental classes of the degeneracy loci can be expressed by means of the double Schubert polynomials. This result has an exact analogue in K^0(X), the Grothendieck ring of algebraic vector bundles over X, provided one replaces the double Schubert polynomials with the double Grothendieck polynomials. In this talk I will illustrate the common framework existing behind this two results and how it can be transported to algebraic cobordism, the universal oriented cohomology theory. I will also explain how this approach allows, in the universal case of a full flag bundle, to extend the result to connected K-theory, a cohomology theory that dominates both CH and K^0, leading to the definition of a family of polynomials
generalizing both Schubert and Grothendieck polynomials.
  		 	   		  
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