Cocycles de groupe pour GLn̳ et arrangements d'hyperplans / Nicolas Bergeron, Pierre Charollois, Luis E. García.

Format:

Book

Author/Creator:

Bergeron, Nicolas, author.

Charollois, Pierre, author.

García, Luis E. (Luis Emilio), author.

Series:

CRM monograph series ; v. 39.

CRM monograph series, 1065-8599 ; volume 39

Language:

English

French

Subjects (All):

Cocycles.

Automorphic forms.

Algebraic topology.

Homology theory.

Functions, Meromorphic.

Linear algebraic groups.

Forms, Modular.

L-functions.

Physical Description:

xvi, 127 pages ; 27 cm.

Place of Publication:

Providence, Rhode Island : AMS, American Mathematical Society, [2023]

Language Note:

Abstract also in English.

Summary:

"This book provides a detailed exposition of the material presented in a series of lectures given in 2020 by Prof. Nicolas Bergeron while he held the Aisenstadt Chair at the CRM in Montréal. The topic is a broad generalization of certain classical identities such as the addition formulas for the cotangent function and for Eisenstein series. The book relates these identities to the cohomology of arithmetic subgroups of the general linear group. It shows that the relations can be made explicit using the theory of higher rank modular symbols, ultimately unveiling a concrete link between topological and algebraic objects"--Cover page 4.

Contents:

Construction de cocycles : aspects topologiques

Énoncés des principaux résultats : cocycles explicites

Cohomologie d'arrangements d'hyerplans : représentants canoniques

Formes différentielles sur l'espace symétrique associé à SLn̳(C)

Compactifications de Satake, de Tits et symboles modulaires

Cocycles de GLn̳(C) explicites

Séries d'Eisenstein associées à ψ

Cocycle multicatif du groupe rationnel GLn̳(Q)+

Cocycle elliptique du groupe rationnel GLn̳(Q)+ .

Notes:

In title "n̳" is subscript.

Includes bibliographical references (pages 125-127).

ISBN:

9781470474119

1470474115

OCLC:

1409348670