3–13 Jun 2024
Department of Mathematics, University of Pisa
Europe/Rome timezone

Relative rigid cohomology via motivic homotopy theory

12 Jun 2024, 11:30
1h
Aula magna di Scienze area Pontecorvo

Aula magna di Scienze area Pontecorvo

Speaker

Alberto Vezzani (Università Statale di Milano)

Description

We show how the language of motivic non-archimedean homotopy theory can be used to define p-adic cohomology theories and prove new results about them. For example, we show how to define solid relative rigid cohomology and prove a version of Berthelot's conjecture for it (joint work with V. Ertl), and how to construct Hyodo-Kato cohomology, together with its associated Clemens-Schmid chain complex, bypassing log-geometry (joint work with F. Binda and M. Gallauer).

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