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VERSION:2.0
PRODID:-//Memento EPFL//
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SUMMARY:Reduced Whitehead groups of division algebras over function fields
  of p-adic curves
DTSTART:20150703T163000
DTEND:20150703T173000
DTSTAMP:20260506T164251Z
UID:2ca846e812a01e7b5b72580251de07173fc0ce9fbcdea3dbad64d921
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Raman Parimala\nThe question whether every  norm one el
 ement of a central simple\nalgebra is a product of commutators was   for
 mulated in 1943 by Tannaka and Artin\nin terms of the reduced Whitehead gr
 oup SK1(D).\nFor central simple algebras of degree 4\, it is a theorem of 
 Merkurjev/Rost that\nSK_1(D) is trivial over fields of cohomological dimen
 sion 3.  This is a consequence\nof an injection of SK_1(D) into a subquot
 ient of degree 4 Galois cohomology.\nThis leads Suslin to ask whether\nSK_
 1(D) is trivial for algebras of indices $l^2$ for a prime  $l$\nover fiel
 ds of cohomoogical dimension 3. \nIn this talk I report on the recent wor
 k of Nivedita Bhaskhar on the triviality\nof SK_1(D) for period $l$ algebr
 as over function fields of p-adic curves with $l$ not\nequal to $p$.
LOCATION:MA A3 30 http://plan.epfl.ch/?request_locale=fr&room=MA+A3+30&dom
 ain=places
STATUS:CONFIRMED
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