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SUMMARY:The pro-étale topology
DTSTART;VALUE=DATE-TIME:20130918T123000Z
DTEND;VALUE=DATE-TIME:20130918T133000Z
DTSTAMP;VALUE=DATE-TIME:20200410T000237Z
UID:indico-event-492@indico.math.cnrs.fr
DESCRIPTION:I will discuss joint work with Peter Scholze on the pro-étale
topology of schemes. The main goal of this work is to give an intuitive p
erspective on the foundations of l-adic cohomology. After giving the basic
definitions\, I will explain the local contractibility of the pro-étale
site of a scheme (and its homological consequences). Using this\, we will
see why the category of locally constant sheaves on the pro-étale topolog
y gives rise to a fundamental group that is rich enough to detect all liss
e l-adic sheaves through its representation theory (which fails for the gr
oups constructed in SGA1 and SGA3 on non-normal schemes).\n\nhttps://indic
o.math.cnrs.fr/event/492/
LOCATION:IHES Amphitéâtre Léon Motchane
URL:https://indico.math.cnrs.fr/event/492/
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