[RG #79] Asymptotic Group Theory
February 15 - August 15, 2000
Avinoam Mann (The Hebrew University of Jerusalem)
Aner Shalev (The Hebrew University of Jerusalem)
- Branch groups and automata groups, their subgroups, representations, presentations, and subgroup growth
- Zeta functions of nilpotent groups
- Rigid groups
- Redidual properties of the modular group
- Asymptotic aspects of finite simple groups, and probabilistic aspects in particular
- Generation, and random generation, of finite simple groups
- Algorithms for matrix groups
August 1999 - January 2000
Margalit Finkelberg (Tel Aviv University)
Guy G. Stroumsa (The Hebrew University of Jerusalem)
Odd as it may appear, there seems to have been no single comparative study of canons. This was not what could be expected at the dawn of the historical scholarship two hundred years ago. When Friedrich August Wolf, with his Prolegomena ad Homerum, opened the era of Homeric scholarship in 1795, he used a model which was being developed at the time for the study of the Old Testament. The fact that the two main constituents of the Western Canon, the ancient Israelite canonical text as represented by the Hebrew Bible, and the ancient Greek canonical text as represented by the Homeric poems, were being studied side by side was seen as only too natural at the time. This fruitful collaboration was interrupted, never to be revived again, in the first half of the 19th century, when the “discovery” of Sanskrit, instead of stimulating a pluralistic approach to the widening spectrum of ancient civilizations, gave rise to the idea of an Indo-European cultural unity exclusive to the world of the Old Testament and if the ancient Near East in general. To resume the process at the point where it stopped, and thus to supersede the mutual isolation between civilizations of the ancient world which was artificially created thereby, is one of our objectives.
Similarly, the study of the other canonization processes in the ancient world, and in particular in late antiquity, seems to be in need of fresh approaches. While in the last fifty years, since the discoveries of Qumran and Nag Hammadi, dramatic new insights into the canonization processes of these texts have been provided, relatively little has been done in terms of comparison. Moreover, and perhaps
more importantly, very little attention has been paid to the fact that various canonization processes in late antiquity did not develop independently of one another, but are linked in dialectical relationships. The canonization of the Mishna, for instance, should be seen in parallel to that of the contemporary canonization of the New Testament: both were meant to provide a key to the correct understanding of the Old Testament, which both the Jewish and Christian communities claimed as their own.
The main question which brought about the establishment of the research group was the perceived chasm between the “Greek” (and the Latin) and the “Hebrew” (i.e. the Jewish-Christian) traditions. The first is usually perceived to be more “literary” by nature, while the second would be essentially “religious”. We will attempt to develop a coherent and precise language that will permit us to use the same tools in order to analyse together these rather different traditions.