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SUMMARY:Sabrina Pauli (Universitetet i Oslo)
DTSTART;VALUE=DATE-TIME:20200729T100000Z
DTEND;VALUE=DATE-TIME:20200729T110000Z
DTSTAMP;VALUE=DATE-TIME:20240329T081136Z
UID:MotivesAndWhatNot072020/1
DESCRIPTION:Title: Quadratic dynamic and excess intersection\nby Sabrina
Pauli (Universitetet i Oslo) as part of Motives and What Not\n\n\nAbstract
\nOne can view Fulton and MacPherson's intersection product of an excess i
ntersection as a limit of proper intersections. In my talk I will introduc
e a quadratic version of this dynamic process to compute excess intersecti
ons in oriented Chow. As an application\, I will compute several Euler num
bers valued in GW(k)\, for example the count of lines on a quintic threefo
ld expressed as the sum of local contributions of the lines on the Fermat
quintic threefold that deform with a generic deformation.\n
LOCATION:https://researchseminars.org/talk/MotivesAndWhatNot072020/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Doosung Park (Universität Zürich)
DTSTART;VALUE=DATE-TIME:20200729T113000Z
DTEND;VALUE=DATE-TIME:20200729T123000Z
DTSTAMP;VALUE=DATE-TIME:20240329T081136Z
UID:MotivesAndWhatNot072020/2
DESCRIPTION:Title: Triangulated categories of logarithmic motives over a fiel
d\nby Doosung Park (Universität Zürich) as part of Motives and What
Not\n\n\nAbstract\nThere are many non A1-invariant cohomology theories lik
e Hodge cohomology theories. To incorporate these in the framework of tria
ngulated categories of motives\, we can instead use a compactification of
A1 in logarithmic geometry\, which we call Cube. One technical problem is
that Cube does not admit a multiplication map\, so Cube is not an interval
object in the sense of Morel and Voevodsky. In particular\, the naive Sin
g functor is not useful. In this talk\, I will explain how to construct a
Sing functor for Cube that can be used to compare Voevodsky's motives and
logarithmic motives.\n
LOCATION:https://researchseminars.org/talk/MotivesAndWhatNot072020/2/
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SUMMARY:Tariq Syed (Universität Duisburg-Essen)
DTSTART;VALUE=DATE-TIME:20200729T143000Z
DTEND;VALUE=DATE-TIME:20200729T153000Z
DTSTAMP;VALUE=DATE-TIME:20240329T081136Z
UID:MotivesAndWhatNot072020/3
DESCRIPTION:Title: The cancellation of projective modules of rank 2 with a tr
ivial determinant\nby Tariq Syed (Universität Duisburg-Essen) as part
of Motives and What Not\n\n\nAbstract\nI will begin with a brief survey o
f the results on the cancellation problem of projective modules over commu
tative rings (i.e. algebraic vector bundles on affine schemes). Motivated
by this\, I will introduce the generalized Vaserstein symbol and explain i
ts applications to the cancellation problem and the generalized Serre ques
tion on algebraic vector bundles.\n
LOCATION:https://researchseminars.org/talk/MotivesAndWhatNot072020/3/
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SUMMARY:Akhil Mathew (University of Chicago)
DTSTART;VALUE=DATE-TIME:20200729T160000Z
DTEND;VALUE=DATE-TIME:20200729T170000Z
DTSTAMP;VALUE=DATE-TIME:20240329T081136Z
UID:MotivesAndWhatNot072020/4
DESCRIPTION:Title: On K(1)-local TR\nby Akhil Mathew (University of Chica
go) as part of Motives and What Not\n\n\nAbstract\nThe K(1)-localization o
f algebraic K-theory was first studied by Thomason\, who showed that it is
filtered by étale cohomology under mild hypotheses. Using some recent ad
vances in the theory of topological Hochschild homology and cyclotomic spe
ctra\, I will explain some general properties of K(1)-local TR and an anal
og of Thomason's result in this context.\n
LOCATION:https://researchseminars.org/talk/MotivesAndWhatNot072020/4/
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