The Catholic University of America

Washington, DC 20064

SEMINAR IN FUNCTIONAL ANALYSIS

AND RELATED AREAS

Wednesday, November 11, 2009

4:45 - 6:30 p.m. (including a coffee-break)

SPEAKER: Dr. Jon A. Sjogren, Air Force Office of Scientific Research

TITLE: An application of free Lie ring construction

ABSTRACT:

Based on construction of a particular (discrete) Lie group F, the associated (graded) integral Lie ring and its enveloping algebra, we introduce relators through its Magnus expansion (free Taylor series). Our topics will include characterization of Lie elements, Campbell-Hausdorff formula, and Poincare-Birkhoff-Witt theorem. We will also mention Rips' example and sketch the proof of the fact that the inclusion g - e \in I(G) (where I(G) is the augmentation ideal) implies the inclusion g \in [[G,G],G] = \Gamma_3(G) for any group G (Passi, Losey, Sandling, Tahara).

PLACE: McMahon Hall, Room 209

ORGANIZERS: V. Bogdan, A. Levin and P. Saworotnow (The Catholic University of America), and P. Kainen and A. Vogt (Georgetown University)

Telephone: 202-319-5221

Fax: 202-319-5231

Email: levin@cua.edu

Webpage: http://math.cua.edu/seminar