Holmstrom Gerbe

Breen has some articles on gerbes, for example Differential geometry of gerbes, in which he treats gerbes as stacks.

See book by Breen

Totaro remark in the review of Breen's Motives article: The Tannakian category of motives over a finite field should correspond to a gerbe over Q, not a group, because there is no Weil cohomology theory for varieties over a finite field which takes values in Q-VS. One can describe an explicit gerbe over Q equivalent to this one under the assumption of the Tate conjecture.

http://nlab.mathforge.org/nlab/show/gerbe

nLab on gerbes in nonabelian cohomology

nLab page on Gerbe

Created on June 9, 2014 at 21:16:13 by Andreas Holmström