RURAL AMERICA AND THE INFORMATION REVOLUTION: AN EXPLORATION OF POSSIBILITIES AND POTENTIALITIES

Community/Rural/Urban Development,

Subfactors of index less than 5, part 2: triple points

We summarize the known obstructions to subfactors with principal graphs which begin with a triple point. One is based on Jones's quadratic tangles techniques, although we apply it in a novel way. The other two are based on connections techniques; one due to Ocneanu, and the other previously unpublished, although likely known to Haagerup. We then apply these obstructions to the classification of subfactors with index below 5. In particular, we eliminate three of the five families of possible principal graphs called "weeds" in the classification from arXiv:1007.1730.Comment: 28 pages, many figures. Completely revised from v1: many additional or stronger result

Comparative Law: Problems and Prospects

The following is an edited transcript of the closing plenary session of the XVIIIth International Congress of Comparative Law. The session took place on Saturday, July 31, 2010, in Washington, D.C., at the conclusion of the week-long congress, which is held quadrennially by the International Academy of Comparative Law (Académie Internationale de Droit Comparé). The remarks were given in a mix of French and English, but for ease of reading the transcript below is almost entirely in English