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Nonsolvable Galois number fields ramified at 2, 3 and 5 only
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Dembélé, Lassina (2009) Nonsolvable Galois number fields ramified at 2, 3 and 5 only. In: Invited Speaker : London Number Theory Seminar, Imperial College, London, 28 Oct 2009 (Unpublished)
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Official URL: http://www.mth.kcl.ac.uk/events/numbtheo_past.html...
Abstract
In the mid 90s, Dick Gross proposed the following conjecture.
Conjecture: For every prime p, there is a nonsolvable Galois number field K ramified at p only. For p>=11, this conjecture is a consequence of results of Serre and Deligne (using classical modular forms). In this talk, we will show that the conjecture is true for p=2, 3 and 5. The extensions K we constructed in those cases are obtained by using Galois representations attached to Hilbert modular forms. We will also outline a strategy to tackle the case p=7 using automorphic forms on U(3).
Item Type: | Conference Item (Paper) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Official Date: | 28 October 2009 | ||||
Dates: |
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Status: | Not Peer Reviewed | ||||
Publication Status: | Unpublished | ||||
Conference Paper Type: | Paper | ||||
Title of Event: | Invited Speaker : London Number Theory Seminar, Imperial College | ||||
Type of Event: | Other | ||||
Location of Event: | London | ||||
Date(s) of Event: | 28 Oct 2009 |
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