BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Owen Barrett (University of Chicago) DTSTART:20210422T210000Z DTEND:20210422T220000Z DTSTAMP:20260423T024729Z UID:UCSD_NTS/34 DESCRIPTION:Title: The derived category of the abelian category of constructible sheaves\nby Owen Barrett (University of Chicago) as part of UCSD number theory s eminar\n\nLecture held in normally APM 7321\, currently online.\n\nAbstrac t\nNori proved in 2002 that given a complex algebraic variety $X$\, the bo unded\nderived category of the abelian category of constructible sheaves o n $X$ is\nequivalent to the usual triangulated category $D(X)$ of bounded\ nconstructible complexes on $X$.\nHe moreover showed that given any constr uctible sheaf $\\mathcal F$ on\n$\\A^n$\, there is an injection $\\mathcal F\\hookrightarrow\\mathcal G$ with\n$\\mathcal G$ constructible and $H^i( \\A^n\,\\mathcal G)=0$ for $i>0$.\n\nIn this talk\, I'll discuss how to ex tend Nori's theorem to the case of a\nvariety over an algebraically closed field of positive characteristic\, with\nBetti constructible sheaves repl aced by $\\ell$-adic sheaves.\nThis is the case $p=0$ of the general probl em which asks whether the bounded\nderived category of $p$-perverse sheave s is equivalent to $D(X)$\, resolved\naffirmatively for the middle pervers ity by Beilinson.\n\npre-talk at 1:30pm\n LOCATION:https://researchseminars.org/talk/UCSD_NTS/34/ END:VEVENT END:VCALENDAR