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SUMMARY:Adeel Khan (Regensburg University)
DTSTART:20200928T203000Z
DTEND:20200928T213000Z
DTSTAMP:20260423T004756Z
UID:MITTop/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITTop/13/">
 Derived cycle classes</a>\nby Adeel Khan (Regensburg University) as part o
 f MIT topology seminar\n\n\nAbstract\nLet X be a smooth complex algebraic 
 variety. In contrast with the situation for the singular homology groups H
 _*(X)\, the construction of intersection products on the Chow groups of X 
 is subtle due to the comparative difficulty in dealing with non-transverse
  intersections. I will explain one way to deal with this problem by consid
 ering cycle classes that come from derived algebraic geometry. In combinat
 ion with the algebraic analogue of Steenrod's problem on resolution of sin
 gularities of homology classes (which holds by Hironaka)\, this yields a n
 ew construction of cup products in Chow groups. Time permitting\, I may al
 so discuss how derived cycle classes arise in motivic homotopy theory.\n
LOCATION:https://researchseminars.org/talk/MITTop/13/
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