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SUMMARY:Milnor-Witt cycle modules over excellent DVR
DTSTART:20231214T130000Z
DTEND:20231214T150000Z
DTSTAMP:20260423T145300Z
UID:indico-event-10908@indico.math.cnrs.fr
DESCRIPTION:Speakers: Rakesh Pawar\n\nI will briefly recall Milnor cycle m
 odules over a field as defined by Rost (1996) and their significance and p
 roperties. Recently\, 'modules' over Milnor-Witt K-theory or alternatively
  Milnor-Witt cycle modules over field have been formalized by N. Feld (202
 0).  I will talk about recent joint work with Chetan Balwe and Amit Hogad
 i\, where we considered the Milnor-Witt cycle modules over excellent DVR a
 nd studied a subclass of these that satisfy certain lifting conditions on 
 residue maps associated with horizontal valuations. As an important exampl
 e\, Milnor-Witt K-theory of fields belongs to this subclass. Moreover\, th
 is condition is sufficient to deduce the local acyclicity property and A^1
 -homotopy invariance of the associated Gersten complex.\n\nhttps://indico.
 math.cnrs.fr/event/10908/
URL:https://indico.math.cnrs.fr/event/10908/
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