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DESCRIPTION:Abstract: In algebraic geometry\, the existence and geometry of
quotient schemes is a delicate issue. Even when quotients exist\, they ma
y not reflect enough properties of the original group action to be useful.
The machinery of geometric invariant theory is one prescription for identi
fying open subsets of the original scheme that admit useful quotients\, but
it can be shown that there are\, in general\, other open sets that also ad
mit well-behaved quotients. In this talk\, we examine particular actions o
f diagonalizable groups on affine space and illustrate the wide variety of
properties that quotients arising from this action can have.
DTEND:20230213T230000Z
DTSTAMP:20230602T014510Z
DTSTART:20230213T220000Z
GEO:38.941814;-92.328041
LOCATION:Mathematical Sciences Building\, 110
SEQUENCE:0
SUMMARY:Algebra Seminar: The Strange World of Quotients in Algebraic Geomet
ry
UID:tag:localist.com\,2008:EventInstance_42331080638904
URL:https://calendar.missouri.edu/event/algebra_seminar_the_strange_world_o
f_quotients_in_algebraic_geometry
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