國立虎尾科技大學 |

Language: English

Back

A Local Trace Formula and the Multip...

ProQuest Information and Learning Co.

A Local Trace Formula and the Multiplicity One Theorem for the Ginzburg-Rallis Model.

Record Type:	Language materials, manuscript : Monograph/item
Title/Author:	A Local Trace Formula and the Multiplicity One Theorem for the Ginzburg-Rallis Model./
Author:	Wan, Chen.
Description:	1 online resource (224 pages)
Notes:	Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.
Contained By:	Dissertation Abstracts International79-04B(E).
Subject:	Mathematics. -
Online resource:	click for full text (PQDT)
ISBN:	9780355319026

A Local Trace Formula and the Multiplicity One Theorem for the Ginzburg-Rallis Model.
Wan, Chen.

A Local Trace Formula and the Multiplicity One Theorem for the Ginzburg-Rallis Model. - 1 online resource (224 pages)

Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.

Thesis (Ph.D.)

Includes bibliographical references

Following the method developed by Waldspurger and Beuzart-Plessis in their proof of the local Gan-Gross-Prasad conjecture, we are able to prove a local trace formula for the Ginzburg-Rallis model. Then by applying that trace formula, we prove a multiplicity formula for the Ginzburg-Rallis model for tempered representations. Using that multiplicity formula, we prove the multiplicity one theorem for all tempered L-packets. In some cases, we also proved the epsilon dichotomy conjecture which gives a relation between the multiplicity and the exterior cube epsilon factor. Finally, in the archimedean case, we proved some partial results for the general generic representations by applying the open orbit method.

Electronic reproduction.
Ann Arbor, Mich. :
ProQuest,
2018

Mode of access: World Wide Web

ISBN: 9780355319026Subjects--Topical Terms:

527692
Mathematics.
Index Terms--Genre/Form:

554714
Electronic books.

A Local Trace Formula and the Multiplicity One Theorem for the Ginzburg-Rallis Model.
LDR:01979ntm a2200337Ki 4500 001 909811
005 20180426091047.5
006 m o u
007 cr mn||||a|a||
008 190606s2017 xx obm 000 0 eng d
020 $a 9780355319026
035 $a (MiAaPQ)AAI10287533
035 $a (MiAaPQ)umn:18233
035 $a AAI10287533
040 $a MiAaPQ $b eng $c MiAaPQ
099 $a TUL $f hyy $c available through World Wide Web
100 1 $a Wan, Chen. $3 1180773
245 1 2 $a A Local Trace Formula and the Multiplicity One Theorem for the Ginzburg-Rallis Model.
264 0 $c 2017
300 $a 1 online resource (224 pages)
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
500 $a Source: Dissertation Abstracts International, Volume: 79-04(E), Section: B.
500 $a Adviser: Dihua Jiang.
502 $a Thesis (Ph.D.) $c University of Minnesota $d 2017.
504 $a Includes bibliographical references
520 $a Following the method developed by Waldspurger and Beuzart-Plessis in their proof of the local Gan-Gross-Prasad conjecture, we are able to prove a local trace formula for the Ginzburg-Rallis model. Then by applying that trace formula, we prove a multiplicity formula for the Ginzburg-Rallis model for tempered representations. Using that multiplicity formula, we prove the multiplicity one theorem for all tempered L-packets. In some cases, we also proved the epsilon dichotomy conjecture which gives a relation between the multiplicity and the exterior cube epsilon factor. Finally, in the archimedean case, we proved some partial results for the general generic representations by applying the open orbit method.
533 $a Electronic reproduction. $b Ann Arbor, Mich. : $c ProQuest, $d 2018
538 $a Mode of access: World Wide Web
650 4 $a Mathematics. $3 527692
655 7 $a Electronic books. $2 local $3 554714
690 $a 0405
710 2 $a ProQuest Information and Learning Co. $3 1178819
710 2 $a University of Minnesota. $b Mathematics. $3 1180493
773 0 $t Dissertation Abstracts International $g 79-04B(E).
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=10287533 $z click for full text (PQDT)

based on 0 review(s)

Multimedia

Reviews

Add a review and share your thoughts with other readers

Export

pickup library