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SUMMARY:The relation between Quillen K-theory and Milnor K-theory in degre
 e 4 - Oliver Roendigs (Universität Osnabrück)
DTSTART:20220613T103000Z
DTEND:20220613T113000Z
UID:TALK174893@talks.cam.ac.uk
DESCRIPTION:Besides the "canonical" homomorphism from Milnor K-theory to Q
 uillen K-theory\, Suslin constructed a Hurewicz homomorphism from Quillen 
 K-theory to Milnor 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 himself in degree 3 as a consequence of joint work with Merku
 jev\, says that the image of his Hurewicz homomorphism is as small as poss
 ible. Aravind Asok\, Jean Fasel and Ben Williams proved Suslin's conjectur
 e in degree 5. My talk explains a proof of Suslin's conjecture in degree 4
  for fields of characteristic not dividing 6\, based on their work and the
  computation of the one-line of motivic stable homotopy groups of spheres.
 &nbsp\;
LOCATION:Seminar Room 1\, Newton Institute
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