[Turkmath:7204] Dizi Konusma ilani ( Istanbul Matematiksel Bilimler Merkezi 15 - 19 Ekim 2010)

[muge.kanuni at boun.edu.tr]

Degerli Liste Uyeleri,

Strasbourg Universitesi ve CRNS Institut de Recherche Mathématique  
Avancée'den Prof. Cristian Kassel, Istanbul Matematiksel Bilimler  
Merkezi'nde 15 - 19 Ekim 2010 tarihleri arasında "Noncommutative  
Principal Fiber Bundles" baslikli bir dizi konusma verecektir.


Ilani ektedir.

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Lecture 1 : Thursday October 14  10:00 IMBM Seminar Room \\

Lecture 2 : Friday   October 15  10:00 IMBM Seminar Room \\

Lecture 3 : Monday   October 18  10:00 IMBM Seminar Room \\

Lecture 4 : Tuesday  October 19  10:00 IMBM Seminar Room \\

Abstract: I'll first recall the basic dictionary of noncommutative  
geometry between spaces and algebras and between groups and Hopf  
algebras. Then I will introduce noncommutative principal fiber  
bundles, which are noncommutative (or quantum) analogues of principal  
fiber bundles where the role of the structural group is played by a  
Hopf algebra rather than by a group. There are many examples of such  
bundles in quantum group theory. Nicely enough, they have a simple  
algebraic definition. I will give examples of these objects, list some  
of their properties, and show how to construct an important class of  
them. I will close the lectures by demonstrating how any Hopf algebra  
(or quantum group) fibers naturally over an algebraic variety. This  
means that there is classical geometry behind any Hopf algebra.
No previous knowledge of quantum groups or Hopf algebras will be  
assumed. All concepts I will introduce will be illustrated with simple  
examples.


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