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SUMMARY:David Miyamoto (University of Toronto)
DTSTART:20220608T111000Z
DTEND:20220608T123000Z
DTSTAMP:20260423T022712Z
UID:GDS/62
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/GDS/62/">Qua
 sifold groupoids and diffeological quasifolds</a>\nby David Miyamoto (Univ
 ersity of Toronto) as part of Geometry and Dynamics seminar\n\n\nAbstract\
 nA quasifold is a space that is locally modeled by quotients of R^n \nby c
 ountable group actions. These arise in Elisa Prato's generalization of \nt
 he Delzant theorem to irrational polytopes\, and include orbifolds and \nm
 anifolds. We approach quasifolds in two ways: by viewing them as diffeolog
 ical \nspaces\, we form the category of diffeological quasifolds\, and by 
 viewing them \nas Lie groupoids (with bibundles as morphisms)\, we form th
 e category of \nquasifold groupoids. We show that\, restricting to effecti
 ve groupoids\, and \nlocally invertible morphisms\, these two categories a
 re equivalent. In \nparticular\, an effective quasifold groupoid is determ
 ined by its diffeological \norbit space. This is join work with Yael Karsh
 on.\n
LOCATION:https://researchseminars.org/talk/GDS/62/
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