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Sites and sheaves

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Reinier Kramer
Mon, 2020-07-13 10:30 - 12:00

I will define sites, i.e. categories with a Grothendieck topology on them. I will give several examples of sites of topological spaces and of schemes. Sites are the right categorical context for sheaf theory, and I will explain how. Finally, I will sketch a proof of Grothendieck's result that representable functors are sheaves in the fpqc topology - and hence also in the fppf and étale topology. This is mostly based on Vistoli's notes, section 2.3.
Organiser: Reinier Kramer
Please send an email to rkramer@mpim... for the password for the sessions.


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