Completed cohomology of Hilbert modular varieties below middle degree
arXiv:2609.27310
Abstract
We study the locally analytic vectors of completed cohomology of Hilbert modular varieties below middle degree. Our main result says that the universal enveloping algebra action has to factor through certain quotients. Application includes bounds on the Gelfand-Kirillov dimension and a density result. The method is a continuation of our joint work with Kai-Wen Lan.
arXiv comment19 pages; submitted to Proceedings of the Third JNT Biennial Conference 2024