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Crystalline fundamental group and Berthelot’s conjecture for isocrystals – Fabio Tonini (Università di Firenze)

In the talk I will introduce the crystalline site of a variety in positive characteristic, discuss the notion of crystals and isocrystals over it and define its crystalline fundamental group. I will then discuss Berthelot’s conjecture and its…

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On the trace of Sobolev spaces on the Von Koch’s snowflake – Michal Wojciechowski (Mathematical Institute of the Polish Academy of Science)

We show that the boundary trace operator on Sobolev space of functions with summable gradient on von Koch’s snowflake has a right inverse. This contrasts with the case of domains with nice boundaries in which, according to Petree’s theorem, a right…

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