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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:The relation between Quillen K-theory and Milnor K
-theory in degree 4 - Oliver Roendigs (UniversitÃ¤t
OsnabrÃ¼ck)
DTSTART;TZID=Europe/London:20220613T113000
DTEND;TZID=Europe/London:20220613T123000
UID:TALK174893AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/174893
DESCRIPTION:Besides the "canonical" homomorphism from Milnor K
-theory to Quillen K-theory\, Suslin constructed a
Hurewicz homomorphism from Quillen K-theory to Mi
lnor K-theory such that the resulting endomorphism
on Milnor K-theory is multiplication with (n-1)!
in degree n>0. Suslin's conjecture\, proven by him
self in degree 3 as a consequence of joint work wi
th Merkujev\, says that the image of his Hurewicz
homomorphism is as small as possible. Aravind Asok
\, Jean Fasel and Ben Williams proved Suslin's con
jecture in degree 5. My talk explains a proof of S
uslin's conjecture in degree 4 for fields of chara
cteristic not dividing 6\, based on their work and
the computation of the one-line of motivic stable
homotopy groups of spheres. \;
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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