Deutsch
 
Hilfe Datenschutzhinweis Impressum
  DetailsucheBrowse

Datensatz

DATENSATZ AKTIONENEXPORT
 
 
DownloadE-Mail
 Lokale TagsFreigabegeschichteDetailsÜbersicht
  Selberg zeta function and relative analytic torsion for hyperbolic odd-dimensional orbifolds

Fedosova, K. (2016). Selberg zeta function and relative analytic torsion for hyperbolic odd-dimensional orbifolds. PhD Thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn.

Item is

 

einblenden: alle ausblenden: alle

Basisdaten

einblenden: ausblenden:
Datensatz-Permalink: https://hdl.handle.net/21.11116/0000-0004-10D3-B Versions-Permalink: https://hdl.handle.net/21.11116/0000-0009-0155-6
Genre: Hochschulschrift

Dateien

einblenden: Dateien
ausblenden: Dateien
:
Fedosova_Selberg zeta_2016.pdf (Verlagsversion), 781KB
 
Datei-Permalink:
-
Name:
Fedosova_Selberg zeta_2016.pdf
Beschreibung:
-
OA-Status:
Sichtbarkeit:
Privat
MIME-Typ / Prüfsumme:
application/pdf
Technische Metadaten:
Copyright Datum:
-
Copyright Info:
-
Lizenz:
-

Externe Referenzen

einblenden:
ausblenden:
externe Referenz:
https://hdl.handle.net/20.500.11811/6916 (beliebiger Volltext)
Beschreibung:
-
OA-Status:

Urheber

einblenden:
ausblenden:
 Urheber:
Fedosova, Ksenia1, Autor           
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

Inhalt

einblenden:
ausblenden:
Schlagwörter: -
 Zusammenfassung: In this thesis we study the Selberg zeta functions and the analytic torsion of hyperbolic odd-dimensional orbifolds $Gamma backslash mathbb{H}^{2n+1}$. In the first part of the thesis we restrict ourselves to compact orbifolds and establish a version of the Selberg trace formula for non-unitary representations of $Gamma$. We study Selberg zeta functions on $Gamma backslash mathbb{H}^{2n+1}$, prove that these functions admit a meromorphic continuation to $C$ and describe their singularities. In the second part we define the analytic torsion of a compact orbifold $Gamma backslash mathbb{H}^{2n+1}$ associated to the restriction of a certain representation of $G$ to $Gamma$. Further we investigate the asymptotic behavior of this torsion with respect to special sequences of representations of $G$. In the third part we extend the results of the second part to hyperbolic odd-dimensional orbifolds of finite volume under the assumption that the orbifold is 3-dimensional.
Our work generalizes the results of Mueller to compact orbifolds, results of Bunke and Olbrich to compact orbifolds and non-unitary representations of $Gamma$, and results of Mueller and Pfaff to compact and finite-volume 3-dimensional orbifolds.

Details

einblenden:
ausblenden:
Sprache(n): eng - English
 Datum: 2016
 Publikationsstatus: Angenommen
 Seiten: 108 p.
 Ort, Verlag, Ausgabe: Bonn : Rheinische Friedrich-Wilhelms-Universität Bonn
 Inhaltsverzeichnis: -
 Art der Begutachtung: -
 Identifikatoren: URN: https://nbn-resolving.org/urn:nbn:de:hbz:5n-45309
 Art des Abschluß: Doktorarbeit

Veranstaltung

einblenden:

Entscheidung

einblenden:

Projektinformation

einblenden:

Quelle

einblenden: