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On congruences between modular forms.

Taylor, Richard Lawrence.

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On congruences between modular forms.

Record Type:	Electronic resources : Monograph/item
Title/Author:	On congruences between modular forms./
Author:	Taylor, Richard Lawrence.
Description:	136 p.
Notes:	Source: Dissertation Abstracts International, Volume: 49-07, Section: B, page: 2687.
Contained By:	Dissertation Abstracts International49-07B.
Subject:	Mathematics. -
Online resource:	http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=8819602

On congruences between modular forms.
Taylor, Richard Lawrence.

On congruences between modular forms. - 136 p.

Source: Dissertation Abstracts International, Volume: 49-07, Section: B, page: 2687.

Thesis (Ph.D.)--Princeton University, 1988.

This item must not be sold to any third party vendors.

An elementary lemma on group cohomology is proved. Applied to certain arithmetic subgroups of real lie groups this leads to a general method of establishing congruences between modular forms of different weights. We apply this to establish the existence of certain p-adic families (Hida families) of Siegel modular forms and of modular forms for $GL\sb2$ over an imaginary quadratic field. We also use these methods to show that the existence of certain Galois representations one expects to be attached to Siegel modular forms corresponding to holomorphic discrete series would imply their existence for Siegel modular forms corresponding to limit of homomorphic discrete series.Subjects--Topical Terms:

515831
Mathematics.

On congruences between modular forms.
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008 170521s1988 ||||||||||||||||| ||eng d
035 $a (MiAaPQ)AAI8819602
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040 $a MiAaPQ $c MiAaPQ
100 1 $a Taylor, Richard Lawrence. $3 560886
245 1 0 $a On congruences between modular forms.
300 $a 136 p.
500 $a Source: Dissertation Abstracts International, Volume: 49-07, Section: B, page: 2687.
502 $a Thesis (Ph.D.)--Princeton University, 1988.
506 $a This item must not be sold to any third party vendors.
506 $a This item must not be added to any third party search indexes.
520 $a An elementary lemma on group cohomology is proved. Applied to certain arithmetic subgroups of real lie groups this leads to a general method of establishing congruences between modular forms of different weights. We apply this to establish the existence of certain p-adic families (Hida families) of Siegel modular forms and of modular forms for $GL\sb2$ over an imaginary quadratic field. We also use these methods to show that the existence of certain Galois representations one expects to be attached to Siegel modular forms corresponding to holomorphic discrete series would imply their existence for Siegel modular forms corresponding to limit of homomorphic discrete series.
590 $a School code: 0181.
650 4 $a Mathematics. $3 515831
690 $a 0405
710 2 $a Princeton University. $3 645579
773 0 $t Dissertation Abstracts International $g 49-07B.
790 $a 0181
791 $a Ph.D.
792 $a 1988
793 $a English
856 4 0 $u http://pqdd.sinica.edu.tw/twdaoapp/servlet/advanced?query=8819602