NIP division rings of characteristic p>0.

par Cédric Milliet

jeudi 12 janv. 2017, 10:30 → 11:30 Europe/Paris

Salle 112 (ICJ, bât. Braconnier, UCBL - La Doua)

Stable division rings of characteristic p>0 are known to have finite dimension over their centre. It is conjectured that this dimension is actually 1. We show that division rings of characteristic p>0 without the independence property also have finite dimension over their centre, and provide examples where this dimension is different than 1.