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Thursday 13 Oct 2022Number Theory and Algebra Seminar: A1-homotopy theory of log schemes

Doosung Park - University of Wuppertal

Harrison 103 15:30-16:30

In this talk, I will explain the construction of the A1-local stable motivic homotopy category of log schemes. As an application, cohomology theories of schemes can be extended to log schemes. In particular, motivic cohomology, homotopy K-theory, and algebraic cobordism of log schemes can be defined. For any log smooth log scheme, cohomology of its boundary can be computed in terms of cohomology of schemes. This includes the case of log points.

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