Description |
The category of strict polynomial bifunctors over the field $\Bbb F_p$ has
an interesting homological algebra. There are surprising formulas that
describe the effect of Frobenius twist on certain Ext groups. We will
explain some of this.
The bifunctor theory has been crucial in the proof of my cohomological
finite generation conjecture: If a reductive algebraic group $G$ defined
over a field $k$ acts algebraically via algebra automorphisms on a finite
type commutative $k$-algebra, then the graded $k$-algebra $H^*(G,A)$ is
finitely generated.
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