Character coproducts: local context

Project map · Chapter map · Full theorem DAG · Open textbook statement

This local map shows one dependency hop in either direction. The highlighted item is the current focus. What the colours mean

ready to state2Nothing it needs is blocked, so the statement can be written in Lean.planned5Described in the blueprint only.

graph LR n0("Sheaf cohomology bounds"):::can_state n1("Stacks derived facts"):::can_state n2("Rational orbit pullback"):::planned n3("Character coproducts"):::planned n4("Real orthogonality"):::planned n5["Character classes"]:::planned n6("Covariance of character classes"):::planned n0 -.-> n3 n1 -.-> n3 n1 -.-> n2 n5 --> n6 n3 -.-> n5 n3 -.-> n6 n3 --> n4 n4 -.-> n5 n2 -.-> n3 click n0 "../../../roadmap/background/index.html#sheaf-cohomology-bounds" "Sheaf cohomology bounds — 1 item · 1 ready to state" click n1 "../../../roadmap/background/index.html#stacks-derived" "Stacks derived facts — 1 item · 1 ready to state" click n2 "../../../roadmap/local-tests/index.html#orbit-injectivity" "Rational orbit pullback — 1 item · 1 planned" class n3 focus click n3 "../../../roadmap/character-classes/index.html#character-coproduct" "Character coproducts — 1 item · 1 planned" click n4 "../../../roadmap/character-classes/index.html#orthogonality" "Real orthogonality — 1 item · 1 planned" click n5 "../../../roadmap/character-classes/index.html#character-classes" "Character classes — 1 item · 1 planned" click n6 "../../../roadmap/character-classes/index.html#class-covariance" "Covariance of character classes — 1 item · 1 planned"