Work

Fixed-point statistics from spectral measures on tensor envelope categories

Year: 2025

Type: article

Abstract: We prove old and new convergence statements for fixed-points statistics and characters of symmetric groups using tensor envelope categories, such as the Deligne–Knop category of representations of the “symmetric group” $$S_t$$ S t for an indeterminate t . We also speculate on a generalization of Chebotarev’s density theorem to pseudopolynomials.

Source: Selecta Mathematica

DOI: 10.1007/s00029-025-01091-0

Authors: Arthur Forey, Javier Fresán, Emmanuel Kowalski

Institutions: Centre National de la Recherche Scientifique, Université de Lille, Laboratoire Paul Painlevé, Université Paris Cité, Institut de Mathématiques de Jussieu-Paris Rive Gauche, Sorbonne Université, Centre de Mathématiques Laurent Schwartz, ETH Zurich

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Agence Nationale de la Recherche, Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung, Eidgenössische Technische Hochschule Zürich

Awards: G4656594441, Periods in Arithmetic and Motivic Geometry, Metric and additive invariants in tame non-Archimedean geometry

OpenAlex ID: W4387073566

FWCI:

Cites: 18

Cited by:

Related to: 10