Omschrijving
We develop a theory of average sizes of kernels of generic matrices with support constraints defined in terms of graphs and hypergraphs. We apply this theory to study unipotent groups associated with graphs. In particular, we establish strong uniformity results pertaining to zeta functions enumerating conjugacy classes of these groups.
Tobias Rossmann, University of Galway, Ireland.
Christopher Voll, Universitat Bielefeld, Germany.