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CATEGORIES:Algebra Seminar
SUMMARY:Finite groups of Lie type as Galois groups over ra
tional numbers - Gordon Savin\, University of Utah
DTSTART:20110317T160000Z
DTEND:20110317T170000Z
UID:TALK2619AT
URL:/talk/index/2619
DESCRIPTION:Let _l_ be a rational prime. In a work with Khare
and Larsen we proved that the groups of Lie type _
B_{n}_\, _C_{n}_ and _G__{2 over the finite field of order _l^k^_ appear as
Galois groups over rational numbers for infinitel
y many _k_. The main tool is _l_-adic representati
ons attached to automorphic representations. Our a
pproach consists of carefully constructing automor
phic representations so that\nthe corresponding _l
_-adic representations give desired Galois groups.
LOCATION:Watson Building\, Lecture Room A
CONTACT:David Craven
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}