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On congruences between modular forms.
~
Taylor, Richard Lawrence.
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On congruences between modular forms.
紀錄類型:
書目-電子資源 : Monograph/item
正題名/作者:
On congruences between modular forms./
作者:
Taylor, Richard Lawrence.
面頁冊數:
136 p.
附註:
Source: Dissertation Abstracts International, Volume: 49-07, Section: B, page: 2687.
Contained By:
Dissertation Abstracts International49-07B.
標題:
Mathematics. -
電子資源:
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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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.
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