Higher Algebra in t-Structured Tensor Triangulated ∞-CategoriesMPIM

by Jiacheng Liang (Johns Hopkins University/MPIM)

Monday Apr 14, 2025, 2:00 PM → 2:15 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

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.