Images of Galois representations with values in mod p Hecke algebras

Reference : Images of Galois representations with values in mod p Hecke algebras


	Document type :	Scientific Presentations in Universities or Research Centers : Scientific presentation in universities or research centers
	Discipline(s) :	Physical, chemical, mathematical & earth Sciences : Mathematics
	To cite this reference:	http://hdl.handle.net/10993/29875

Title :	Images of Galois representations with values in mod p Hecke algebras
Language :	English
Author, co-author :	Amoros Carafi, Laia [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
Publication date :	24-Jan-2017
Audience :	International
Event name :	Seminari de Teoria de Nombres de Barcelons
Event date :	from 23-01-2017 to 27-01-2017
Event organizer :	UB-UAB-UPC
Event place (city) :	Barcelona
Event country :	Spain
Keywords :	[en] Galois representations ; Hecke algebras ; modular forms
Abstract :	[en] I will explain how one can construct Galois representations that take values in local mod $p$ Hecke $\mathbb{F}_q$-algebras. I will then show how one can compute explicitly the image of such a Galois representation assuming that the corresponding residual representation has big image. Finally I will show some computations of these images in concrete examples.
Permalink :	http://hdl.handle.net/10993/29875

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