English

On local representation densities of hermitian forms and special cycles

Number Theory 2022-01-07 v2 Algebraic Geometry Representation Theory

Abstract

In this paper, we reformulate conjectural formulas for the arithmetic intersection numbers of special cycles on unitary Shimura varieties with minuscule parahoric level structure in terms of weighted counting of lattices containing special homomorphisms.

Keywords

Cite

@article{arxiv.2103.10061,
  title  = {On local representation densities of hermitian forms and special cycles},
  author = {Sungyoon Cho},
  journal= {arXiv preprint arXiv:2103.10061},
  year   = {2022}
}

Comments

37 pages, minor revision