EnglishFrançais

Site Web DMA

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

Variétés rationnelles

Horaires : Le vendredi 22 septembre 2017, 15h - 16h

Lieu : ENS, salle W

Cayley groups

Mikhail Borovoi (Tel Aviv)

I will start the talk with the classical Cayley transform for the special orthogonal group SO(n) defined by Arthur Cayley in 1846. A connected linear algebraic group G over a field K is called a Cayley group if it admits a Cayley map, that is, a G-equivariant birational isomorphism between the group variety G and its Lie algebra Lie(G). For example, SO(n) is a Cayley group. A linear algebraic group G is called stably Cayley if G x (K*)^r is Cayley for some natural number r. I will consider semisimple algebraic groups, in particular, simple algebraic gro5ps. i whll describe classification of Cayley simple groups and of stably Cayley semisimple groups over an algebraically closed field of characteristic 0 (Based on joint works with Boris Kunyavskii and others).

 

Autres séances du séminaire


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

Plan du site | Mentions légales | | Edition du site | Web site designed under SPIP