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DTSTART;TZID=America/Toronto:20260219T110000
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URL:https://uwaterloo.ca/pure-mathematics/events/algebraic-geometry-working
 -seminar-99
SUMMARY:Algebraic geometry working seminar
CLASS:PUBLIC
DESCRIPTION:CATHERINE ST-PIERRE\, UNIVERSITY OF WATERLOO\n\n_Why does the S
 pec functor not extend to non-commutative rings?_\n\nThe functor Spec\, wh
 ich assigns to a commutative ring its prime\nspectrum\, plays a central ro
 le in algebraicgeometry. A natural\nquestion is whether this construction 
 can be extended in a meaningful\nway tononcommutative rings. In this talk\
 , we discuss the obstruction\nto the extension of the functor Spec to non-
 commutative rings\npresented by Manuel L. Reyes\, showing that any functor
  extending Spec\nand satisfyingreasonable compatibility conditions must co
 llapse on\ncertain noncommutative rings\, such as matrix algebras$M_3(\\ma
 thbb C)$.\n\nMC 5417
DTSTAMP:20260416T041922Z
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