English

L-function genera and applications

Number Theory 2024-08-08 v2

Abstract

We introduce equivariant L-genera associated to actions of Galois and related groups on algebraic varieties. We explain the role which these L-genera play in the spectral analysis of Eisenstein series. We also discuss the natural categorification of L-genera and its potential role in enumerative geometry.

Keywords

Cite

@article{arxiv.2311.17747,
  title  = {L-function genera and applications},
  author = {David Kazhdan and Andrei Okounkov},
  journal= {arXiv preprint arXiv:2311.17747},
  year   = {2024}
}
R2 v1 2026-06-28T13:35:35.547Z