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SUMMARY:Jarod Alper (University of Washington)
DTSTART;VALUE=DATE-TIME:20201023T190000Z
DTEND;VALUE=DATE-TIME:20201023T200000Z
DTSTAMP;VALUE=DATE-TIME:20211209T073158Z
UID:agstanford/25
DESCRIPTION:Title: Coherent completeness and the local structure of algebraic stacks\
nby Jarod Alper (University of Washington) as part of Stanford algebraic g
eometry seminar\n\n\nAbstract\nFormal GAGA is an important theorem in form
al geometry which categorizes coherent sheaves on a scheme proper over a c
omplete local noetherian ring in terms of compatible families of coherent
sheaves on the thickenings of its central fiber. We will discuss generali
zations of this result to algebraic stacks and explain how such results ca
n be used to prove local structure theorems for algebraic stacks. After r
eviewing joint work with Hall and Rydh which establishes a satisfactory re
sult in characteristic 0\, we will discuss partial progress in joint work
with Hall and Lim on extending this result to positive characteristic.\n
LOCATION:https://researchseminars.org/talk/agstanford/25/
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