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Higher Algebra in t-Structured Tensor Triangulated ∞-Categories

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Speaker: 
Jiacheng Liang
Affiliation: 
Johns Hopkins University/MPIM
Date: 
Mon, 14/04/2025 - 14:00 - 14:15
Location: 
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar

We observe that many concepts from Lurie's Higher Algebra can be generalized to the setting of t-structured tt-∞-categories, including notions such as flatness, and étale morphisms. Under suitable conditions on a tt-∞-category, we can establish Lazard's theorem, étale rigidity, and the universal property of the derived category, among others.

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