3 papers
math.RT2019
On the tails of FI-modules
Peter Patzt, John D. Wiltshire-Gordon
We study the end-behavior of integer-valued FI-modules. Our first result describes the high degrees of an FI-module in terms of newly defined tail invariants. Our main result provi…
math.AT2018
Non-integrality of some Steinberg modules
Jeremy Miller, Peter Patzt, Jennifer C. H. Wilson +1
We prove that the Steinberg module of the special linear group of a quadratic imaginary number ring which is not Euclidean is not generated by integral apartments. Assuming the gen…
math.AT2018
Stability in the high-dimensional cohomology of congruence subgroups
Jeremy Miller, Rohit Nagpal, Peter Patzt
We prove a representation stability result for the codimension-one cohomology of the level three congruence subgroup of . This is a special case of a que…