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Twists of Galois Representations and Projective Automorphisms

✍ Scribed by Siman Wong

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
175 KB
Volume
74
Category
Article
ISSN
0022-314X

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✦ Synopsis

We show that two surjective *-adic Galois representations which are *-adically close near the supersingular primes are equivalent up to a twist and a standard automorphism of GL n . In particular, two elliptic curves over a number field which are locally twist of each other in fact differ by a global twist. The proof depends on determining the automorphisms of PGL n over a complete local ring.

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