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Emanuel Reinecke: Unipotent homotopy theory of schemes

Time: Wed 2023-04-26 13.15

Location: Albano, Cramér room

Participating: Emanuel Reinecke, MPIM Bonn

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In this talk, I will present a notion of unipotent homotopy theory for schemes, which is based on Toën's work on affine stacks. I will discuss some general properties of the resulting unipotent homotopy group schemes and explain how over a field of characteristic p>0, they often recover the unipotent completion of the Nori fundamental group scheme, p-adic etale homotopy groups, and Artin–Mazur formal groups. As examples, we will see computations in the case of curves, abelian varieties, and Calabi–Yau varieties. Joint work with Shubhodip Mondal.

Belongs to: Stockholm Mathematics Centre
Last changed: Apr 24, 2023