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SUMMARY:Mike Prest (Manchester)
DTSTART:20240423T130000Z
DTEND:20240423T140000Z
DTSTAMP:20260421T154237Z
UID:UEAPS/26
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UEAPS/26/">L
 inear algebra over general rings</a>\nby Mike Prest (Manchester) as part o
 f ANTLR seminar\n\nLecture held in EFRY 01.05.\n\nAbstract\nIn linear alge
 bra we meet solution sets to systems of linear equations with coefficients
  from a field.  Later\, we see that we can replace the field by a more gen
 eral ring\, for instance a Weyl algebra where we would be looking at solut
 ions of systems of linear partial differential equations.  Over general ri
 ngs\, however\, such solution sets do not have nice closure properties\; f
 or instance they might not be closed under coordinate projections.  But\, 
 if we accept projected systems of equations and their solution sets as bas
 ic objects\, then we recover the nice closure properties that one has over
  fields and\, over general rings\, find interesting structures sitting wit
 hin a rich and extensive theory which ramifies into many aspects of repres
 entation theory.\n
LOCATION:https://researchseminars.org/talk/UEAPS/26/
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