Plan of the talkFree algebras and algebras with quadratic relationsKoszul duality, Koszul differentialRelation to pure spinor formalism: Pure spinors as Koszul algebraBRST cohomology vs Lie algebra cohomologyApplication to vertex operators in AdS and flat space
Plan of the talk
Free algebras and algebras with quadratic relations
Koszul duality, Koszul differential
Pure spinors as Koszul algebra
BRST cohomology vs Lie algebra cohomology
Application to vertex operators in AdS and flat space