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Geometry of Eigencurve at Critical E...

Majumdar, Dipramit.

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Geometry of Eigencurve at Critical Eisenstein Series of Weight 2 and Endoscopic Transfer between Eigenvarieties of U(n).

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Geometry of Eigencurve at Critical Eisenstein Series of Weight 2 and Endoscopic Transfer between Eigenvarieties of U(n)./
Author:	Majumdar, Dipramit.
Description:	71 p.
Notes:	Source: Dissertation Abstracts International, Volume: 74-09(E), Section: B.
Contained By:	Dissertation Abstracts International74-09B(E).
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3562316
ISBN:	9781303098963

Geometry of Eigencurve at Critical Eisenstein Series of Weight 2 and Endoscopic Transfer between Eigenvarieties of U(n).
Majumdar, Dipramit.

Geometry of Eigencurve at Critical Eisenstein Series of Weight 2 and Endoscopic Transfer between Eigenvarieties of U(n). - 71 p.

Source: Dissertation Abstracts International, Volume: 74-09(E), Section: B.

Thesis (Ph.D.)--Brandeis University, 2013.

In my thesis we show that eigencurve C (l0) is smooth and etale at critical Eisenstein series of weight 2. If chi is a Dirichlet character of conductor l0, we prove that eigencurve Cl20 is smooth at generalized critical Eisenstein series of weight 2, Ecritp2,c,c-1 . We assume that endoscopic transfer for classical automorphic representation of definite unitary group U(n) exists. We construct a rigid analytic map between eigenvarieties of U( n), which at classical points interpolate endoscopic transfer.

ISBN: 9781303098963Subjects--Topical Terms:

515831
Mathematics.

Geometry of Eigencurve at Critical Eisenstein Series of Weight 2 and Endoscopic Transfer between Eigenvarieties of U(n).
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020 $a 9781303098963
035 $a (MiAaPQ)AAI3562316
035 $a AAI3562316
040 $a MiAaPQ $c MiAaPQ
100 1 $a Majumdar, Dipramit. $3 2101197
245 1 0 $a Geometry of Eigencurve at Critical Eisenstein Series of Weight 2 and Endoscopic Transfer between Eigenvarieties of U(n).
300 $a 71 p.
500 $a Source: Dissertation Abstracts International, Volume: 74-09(E), Section: B.
500 $a Adviser: Joel Bellaiche.
502 $a Thesis (Ph.D.)--Brandeis University, 2013.
520 $a In my thesis we show that eigencurve C (l0) is smooth and etale at critical Eisenstein series of weight 2. If chi is a Dirichlet character of conductor l0, we prove that eigencurve Cl20 is smooth at generalized critical Eisenstein series of weight 2, Ecritp2,c,c-1 . We assume that endoscopic transfer for classical automorphic representation of definite unitary group U(n) exists. We construct a rigid analytic map between eigenvarieties of U( n), which at classical points interpolate endoscopic transfer.
590 $a School code: 0021.
650 4 $a Mathematics. $3 515831
650 4 $a Theoretical Mathematics. $3 1672766
690 $a 0405
690 $a 0642
710 2 $a Brandeis University. $b Mathematics. $3 1285724
773 0 $t Dissertation Abstracts International $g 74-09B(E).
790 $a 0021
791 $a Ph.D.
792 $a 2013
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=3562316