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CATEGORIES:Junior Geometry Seminar
SUMMARY:Grassmannians and Period Mappings in Derived Algeb
raic Geometry - Carmelo Di Natale (Cambridge)
DTSTART;TZID=Europe/London:20150123T150000
DTEND;TZID=Europe/London:20150123T160000
UID:TALK57597AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/57597
DESCRIPTION:The goal of this talk is to explain how to extend
Grassmannians to the world of derived stacks\, i.e
. how to construct a satisfying derived enhancemen
t of Grassmannian varieties. I will begin by discu
ssing some background about derived geometric stac
ks and in particular I will focus on Artin-Lurie-P
ridham representability theorem\, which provides u
s with a "computational" criterion to check whethe
r a simplicial presheaf of derived algebras is a d
erived geometric stack. Then I will use such a res
ult in order to study derived moduli of perfect co
mplexes and filtered perfect complexes over a base
scheme\; finally the derived Grassmannian will ar
ise as some suitable homotopy limit of such stacks
. Time permitting I will end by sketching how to u
se this derived version of the Grassmannian to obt
ain a derived version of Griffiths' period mapping
.
LOCATION:MR13
CONTACT:Joe Waldron
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