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for questions about etale cohomology of schemes, including foundational material and applications.

26 votes
1 answer
2k views

Example of non-projective variety with non-semisimple Frobenius action on etale cohomology?

This question was motivated by a more general question raised by Jan Weidner here. In general one starts with a variety $X$ (say smooth) over an algebraic closure of a finite field $\mathbb{F}_q$ of …
Jim Humphreys's user avatar
10 votes
Accepted

Is the Gelfand-Graev character isomorphic to a cohomology group for some sheaf on a Deligne-...

In the 35 years following the Deligne-Lusztig construction of generalized characters of finite groups of Lie type, a considerable amount of work by Lusztig and others has led to a reasonably detailed …
Jim Humphreys's user avatar
14 votes

how to find the varieties whose cohomology realizes certain representations?

This is an extended comment, certainly not an answer to the very broad and perhaps unanswerable multiple part question being asked here ("How did people find those varieties?"). A facetious response …
Jim Humphreys's user avatar