Gordan Savin

Affiliation: University of Utah

Email: savin@math.utah.edu

Title Of Talk: Integral structure of some internal modules

URL: http://www.math.utah.edu/~savin/orbits_final.pdf

Abstract: Let P=MN be a maximal parabolic subgroup in a Chevalley group. The unipotent radical N has a natural filtration by subgroups such that the consecutive quotients are linear representations of M. These are called internal modules. The structure of these modules over the ring of integers can be very interesting and non-trivial as the work of Bhargava shows. In this lecture we shall give a description of these modules in the most banal case, when G is simply laced and N is abelian.

Last update made Mon May 18 06:34:48 EDT 2009.
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