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Seminar des SFB/TRR 326 GAUS Abstract Six-Functor Formalisms in Motivic Homotopy Theory
- Date in the past
- Friday, 24. January 2025, 13:30 - 14:30
- INF 205, SR A
- Dr. Chirantan Chowdhury (TU Darmstadt)
Address
INF 205, SR A
Live-stream
Organizer
Dr. Christian Dahlhausen
Event Type
Talk
The six functor formalism was formulated by Grothendieck to give a framework for the basic operations and duality statements for cohomology theories. In this talk, I shall give an overview of abstract six-functor formalisms in the language of ∞-categories followed by its applications in the setting of Motivic Homotopy Theory. After introducing the setup, we shall show how one can extend such formalism from smaller to larger categories (for e.g. : schemes to algebraic stacks). If time permits, I would like to explain further extensions of such results to non-representable situations (joint work with Alessandro D'Angelo).