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比利时vs摩洛哥足彩 ,
university of california san diego

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math 209 - number theory seminar

owen barrett

university of chicago

the derived category of the abelian category of constructible sheaves

abstract:

nori proved in 2002 that given a complex algebraic variety $x$, the bounded derived category of the abelian category of constructible sheaves on $x$ is equivalent to the usual triangulated category $d(x)$ of bounded constructible complexes on $x$. he moreover showed that given any constructible sheaf $\mathcal f$ on $\mathbb{a}^n$, there is an injection $\mathcal f\hookrightarrow\mathcal g$ with $\mathcal g$ constructible and $h^i(\mathbb{a}^n,\mathcal g)=0$ for $i>0$. \\ \\ in this talk, i'll discuss how to extend nori's theorem to the case of a variety over an algebraically closed field of positive characteristic, with betti constructible sheaves replaced by $\ell$-adic sheaves. this is the case $p=0$ of the general problem which asks whether the bounded derived category of $p$-perverse sheaves is equivalent to $d(x)$, resolved affirmatively for the middle perversity by beilinson.

host: kiran kedlaya

april 22, 2021

2:00 pm

location: see //www.ladysinger.com/\~{}nts/

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