Colloque des sciences mathématiques du Québec

19 mars 2010 de 16 h 00 à 18 h 00 (heure de Montréal/HNE) Sur place

Word maps over simple groups

Colloque par Michael Larsen

Given a group G, a set of variables x_1,...,x_n, and a word in the x_i and their inverses, one can define the evaluation map or *word map* from G^n to G. There has been a flurry of recent interest in results asserting that under various hypotheses, word maps are surjective or at least have large image. I will discuss some of these results, the varied techniques (from algebraic geometry, analytic number theory, and harmonic analysis) which have been employed, and a number of questions which remain open.


UQAM, Pav. Sherbrooke, 200, rue Sherbrooke O., salle SH-3420