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SUMMARY:Nicole Lemire (University of Western Ontario)
DTSTART:20210715T160000Z
DTEND:20210715T170000Z
DTSTAMP:20260423T021341Z
UID:ZAG/138
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/ZAG/138/">Co
 dimension 2 cycles of classifying spaces of low-dimensional algebraic tori
 </a>\nby Nicole Lemire (University of Western Ontario) as part of ZAG (Zoo
 m Algebraic Geometry) seminar\n\n\nAbstract\nLet T be an algebraic torus o
 ver a field F\, and let CH^2(BT) be the Chow group of codimension 2 cycles
  in its classifying space. Following work of Blinstein and Merkurjev on th
 e structure of the torsion part of CH^2(BT)\, Scavia\, in a recent preprin
 t\, found an example of an algebraic torus with non-trivial torsion in CH^
 2(BT). In joint work with Alexander Neshitov\, we show computationally tha
 t the group CH^2(BT) is torsion-free for all algebraic tori of dimension a
 t most 5 and determine the conjugacy classes of finite subgroups of GL_6(Z
 ) which correspond to 6-dimensional tori with nontrivial torsion in CH^2(B
 T). Some interesting properties of the structure of low-dimensional algebr
 aic tori are involved.\n
LOCATION:https://researchseminars.org/talk/ZAG/138/
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