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SUMMARY:Martin Speirs (Harvard)
DTSTART:20201130T213000Z
DTEND:20201130T223000Z
DTSTAMP:20260423T024533Z
UID:MITTop/22
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITTop/22/">
 Bass' NK-groups and arithmetic invariants</a>\nby Martin Speirs (Harvard) 
 as part of MIT topology seminar\n\n\nAbstract\nIn the 1970s Quillen proved
  that algebraic K-theory is homotopy invariant for a\nregular noetherian b
 ase. For a non-regular base ring this is not true. Bass\ndefined the NK-gr
 oups in order to study the failure of homotopy invariance in\nK-theory. In
  general these groups are not well understood\, though they have many\nint
 eresting properties. Ten years ago\, Cortiñas\, Haesemeyer\, Walker and W
 eibel\nused cdh-descent methods to understand the NK-groups when the input
  is rational.\nIn this talk I will explain parts of their work and discuss
  ongoing work with\nElden Elmanto where we aim to extend their methods to 
 the mixed characteristic\nsetting.\n
LOCATION:https://researchseminars.org/talk/MITTop/22/
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