English

The test function conjecture for parahoric local models

Algebraic Geometry 2020-04-01 v4 Number Theory Representation Theory

Abstract

We prove the test function conjecture of Kottwitz and the first named author for local models of Shimura varieties with parahoric level structure, and their analogues in equal characteristic.

Cite

@article{arxiv.1801.07094,
  title  = {The test function conjecture for parahoric local models},
  author = {Thomas J. Haines and Timo Richarz},
  journal= {arXiv preprint arXiv:1801.07094},
  year   = {2020}
}

Comments

69 pages. Comments are welcome! Minor changes in introduction, and some typos corrected. This is the accepted version; to appear in JAMS

R2 v1 2026-06-22T23:51:53.388Z