EnglishFrançais

DMA Web Site

Bannière DMA Site de l'ENS Site Paris Sciences et Lettres Site du CNRS Accueil

Irregular seminar

Time: Tuesday, May 03, 2016, 14:00-15:00

Location: Room U+V, ENS DMA

On geometric ring theory

Alexei Kanel-Belov (Université Bar Ilan et MIPT, Moscou)

Quite recently Eliyahu Rips and Arye Juhasz constructed an Engel but not locally nilpotent group, i.e. group which satisfies for some positive $n$ the identity $underbrace{[x,y],y,dots,y]dots]}_n=e$. This group has non-postitive curvature and big commutative parts, some parts have small cancellation and some commute. - This group looks in some sense like a ring, and group multiplication behaves sometimes like multiplication and sometimes like addition. The theory of canonic forms of this group is applicable for rings, in particulary in skew field construction. In different sense some semigroup constructions can be transformed to rings. There is a hope nowdays to develop a geometric ring theory.

 

Other sessions of this seminar


45 rue d'Ulm - F 75230 PARIS cedex 05 | phone : (33) 1 44 32 20 49 | fax : (33) 1 44 32 20 69

Site Map | Legal notice | | Website editor | Web site designed under SPIP