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SUMMARY:Milnor-Witt cycle modules over excellent DVR
DTSTART:20231214T130000Z
DTEND:20231214T150000Z
DTSTAMP:20240228T225900Z
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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