under construction
Let
$k$ be an algebraically closed field;
$G$ be a reductive algebraic group over $k$;
$\ell$ a prime number invertible in $k$ ($\ell \neq char(k)$);
then the canonical morphism
(from the etale cohomology of the moduli stack of $G$ (the quotient stack $\mathbf{B}G \simeq \ast//G$) to the cohomology of its underlying discrete group of $k$-points) is an isomorphism.
Review includes
Eric Friedlander, The Friedlander-Milnor conjecture (pdf)
Fabien Morel, On the homology of Lie groups made discrete, talk, 2012 (video)
Original articles include
Last revised on September 3, 2014 at 16:57:30. See the history of this page for a list of all contributions to it.