Hebrew University Amitsur Algebra Seminar ---------------------------------- Time: Thursday, Dec 22, 12:00-13:15 Place: math 209 Speaker: Sergey Malev (BIU) Title: THE IMAGES OF NON-COMMUTATIVE POLYNOMIALS EVALUATED ON 2 x 2 and 3 x 3 MATRICES. Abstract: The research is based on Kaplansky problem: the only possible images of multilinear polynomial evaluated on n\times n matrices M_n(K) are {0}, K,sl_n(K) or M_n(K),where K is the set of scalar matrices. The result is proved (and generalised for homogeneous polynomials) for n=2 and some things are made for n=3 (in particular, trace free case is finished for homogeneous polynomials).The case n=2 is accepted in the journal Proceedings of AMS and one can read it at <http://arxiv.org/abs/1005.0191> You are cordially invited! <http://math.huji.ac.il/amitsur.html> --------------------------------------------------------- Technion Math Net-2 (TECHMATH2) Editor: Michael Cwikel <techm@math.technion.ac.il> Announcement from: Gili Schul <gili.schul@mail.huji.ac.il>