
School of Mathematics and Statistics
Sigrid Wortmann
Universität Heidelberg
A finiteness result for padic Galois representations.
Friday 12th January, 121pm,
Carslaw 275.
Let p be a prime and V be a finitedimensional
Q_{p}vector space equipped with a
continuous action of G, the absolute Galois group of
Q. Fontaine and Mazur conjectured that if the
inertia at p acts on V through a finite quotient
then G acts through a finite quotient. In this talk we will explain
a proof of this conjecture for representations of "geometric
origin". This means in particular that V arises in the
padic cohomology of smooth projective varieties over
Q.
