We will discuss certain universal properties of Galois actions on \ell-adic cohomolgy of a smooth,
projective variety defined over a finitely generated field of any characteristic. After a survey of
basic facts of the theory, we will present some recent results obtained in a collaboration with
Gebhard Böckle and Sebastian Petersen.
Links:
[1] http://www.mpim-bonn.mpg.de/de/taxonomy/term/39
[2] http://www.mpim-bonn.mpg.de/de/node/3444
[3] http://www.mpim-bonn.mpg.de/de/node/158