Seminar in Real & Complex Geometry

Geometry & Dynamics Seminar

Wednesday, 06.11.2013, 14:10-15:30, Schreiber building, room 209

Stepan Orevkov, Steklov Institute

Algorithmic recognition of quasipositive braids of algebraic length two


A braid is called quasipositive if it is a product of standard generators of the braid group. We give an algorithm which decide if a given braid is a product of two conjugates of standard generators. The algorithm is based on the Garside theory which was developped for a solution of the conjugacy problem in the braid groups. We also give in the talk a short introduction to this theory.