A Local Twisted Trace Formula and Twisted Orthogonality Relations

Around 1990, Arthur proved a local (ordinary) trace formula for real or p-adic connected reductive groups. The local trace formula is a powerful tool in the local harmonic analysis of reductive groups. One of the aims of this thesis is to establish a local twisted trace formula for certain non-connected reductive groups, which is a twisted version of Arthur’s local trace formula. As an application of the local twisted trace formula, we will prove some twisted orthogonality relations, which are generalizations of Arthur’s results about orthogonality relations for tempered elliptic characters. To establish these relations, we will also give a classification of twisted elliptic representations.

Department dc:contributor.department

Mathematics

Year dc:date.issued

2012

Author dc:creator

• Li, Chao

Advisor dc:contributor.advisor

• Arthur, James

• Trace Formula
• Orthogonality Relations
• Twisted Reductive Groups
• Elliptic Representations

Statement dc:rights

• Attribution 2.5 Canada

Licence dc:rights.uri

• http://creativecommons.org/licenses/by/2.5/ca/

Language dc:language.iso

en_ca

Handle dc:identifier.uri

http://hdl.handle.net/1807/33837

OAI identifier oai:identifier

oai:utoronto.scholaris.ca:1807/33837