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Sites and sheaves

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Speaker: 
Reinier Kramer
Affiliation: 
MPIM
Date: 
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.

 

https://bbb.mpim-bonn.mpg.de/b/rei-xh2-kg6
Organiser: Reinier Kramer
Please send an email to rkramer@mpim... for the password for the sessions.

 

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