The stable trace formula for Igusa varieties, II
Number Theory
2025-02-06 v2 Algebraic Geometry
Abstract
Assuming the trace formula for Igusa varieties in characteristic p, which is known by Mack-Crane in the case of Hodge type with good reduction at p, we stabilize the formula via Kaletha's theory of rigid inner twists when the reductive group in the underlying Shimura datum is quasi-split at p. This generalizes our earlier work under more restrictive hypotheses.
Cite
@article{arxiv.2205.05462,
title = {The stable trace formula for Igusa varieties, II},
author = {Alexander Bertoloni Meli and Sug Woo Shin},
journal= {arXiv preprint arXiv:2205.05462},
year = {2025}
}
Comments
50 pages, comments welcome