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Journées de physique mathématique de Lyon 7 – 9 juin 2017 QUANTUM FIELD THEORY IN DE SITTER SPACETIME by Stefan Hollands Lecture 1 DeSitter basics : different coordinate patches, horizons, . . . ; propagators for free scalar field in deSitter spacetime. Lecture 2 Wick rotation ; cosmic no hair theorem for propagators ; Unruh effect ; Feynman rules for interacting quantum field theories in deSitter spacetime, loop integrals (time permitting). Lecture 3 Basics of entanglement ; entanglement across deSitter horizons ; speculative ideas.