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Doosung Park: Motivic six-functor formalism for log scheme

Time: Wed 2023-09-27 13.15

Location: Albano, Cramér room

Participating: Doosung Park, Wuppertal

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In this talk, I will explain a work in progress about the construction of the stable motivic homotopy categories of fine saturated log schemes and their motivic six-functor formalism. This includes the construction of the exceptional push-forward functor, the Poincaré duality, and a special case of the Lefschetz duality. As an application, I will show that the motivic semistable degeneration is independent of the choice of relative compactifications, and I will present the motive of the degenerated torus as an MZ-module over the log point.

Belongs to: Stockholm Mathematics Centre
Last changed: Sep 17, 2023