Local deformation lifting spaces of mod l Galois representations
by Choi, Suh Hyun, Ph.D., HARVARD UNIVERSITY, 2009, 86 pages; 3365229

Abstract:

Let K be a finite extension of [special characters omitted], and let ρ : Gal(K/K ) → GLn([special characters omitted]) be a mod l Galois representation. If l ≠ p, we show that the generic fiber of universal lifting spaces of [special characters omitted] is equidimensional, and we prove that the dimension of the generic fiber is n2. We show that the study of the universal lifting spaces of any [special characters omitted] can be reduced to the study of the universal lifting spaces of Galois representations [special characters omitted] which is trivial on the subgroup of the inertia group I K of Gal(K/K ) whose order is prime to l. Then we characterize the unipotent irreducible components of characteristic 0 for some special cases, especially when n ≤ 4 and the order of the residue field of K is not equal to 1 mod l. The only assumption I make is that the image of the lift of the Frobenius is semisimple.

 
AdviserRichard L. Taylor
SchoolHARVARD UNIVERSITY
SourceDAI/B 70-07, p. , Oct 2009
Source TypeDissertation
SubjectsMathematics
Publication Number3365229
Adobe PDF Access the complete dissertation:
 

» Find an electronic copy at your library.
  Use the link below to access a full citation record of this graduate work:
  http://gateway.proquest.com/openurl%3furl_ver=Z39.88-2004%26res_dat=xri:pqdiss%26rft_val_fmt=info:ofi/fmt:kev:mtx:dissertation%26rft_dat=xri:pqdiss:3365229
  If your library subscribes to the ProQuest Dissertations & Theses (PQDT) database, you may be entitled to a free electronic version of this graduate work. If not, you will have the option to purchase one, and access a 24 page preview for free (if available).

About ProQuest Dissertations & Theses
With over 2.3 million records, the ProQuest Dissertations & Theses (PQDT) database is the most comprehensive collection of dissertations and theses in the world. It is the database of record for graduate research.

The database includes citations of graduate works ranging from the first U.S. dissertation, accepted in 1861, to those accepted as recently as last semester. Of the 2.3 million graduate works included in the database, ProQuest offers more than 1.9 million in full text formats. Of those, over 860,000 are available in PDF format. More than 60,000 dissertations and theses are added to the database each year.

If you have questions, please feel free to visit the ProQuest Web site - http://www.proquest.com - or call ProQuest Hotline Customer Support at 1-800-521-3042.