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Symplectic and Poisson geometry seminar: Quasifold groupoids and diffeological quasifolds

Event Type
Seminar/Symposium
Sponsor
n/a
Location
347 Altgeld Hall
Date
Apr 11, 2022   3:00 pm  
Speaker
David Miyamoto
Contact
Joey Palmer
E-Mail
jpalmer5@illinois.edu
Views
8

A quasifold is a space that is locally modeled by quotients of R^n by countable group actions. These include orbifolds and manifolds. We approach quasifolds in two ways: by viewing them as diffeological spaces, we form the category of diffeological quasifolds, and by viewing them as Lie groupoids (with bibundles as morphisms), we form the category of quasifold groupoids. We show that, restricting to effictive groupoids, and locally invertible morphisms, these two categories are equivalent. In particular, an effective quasifold groupoid is determined by its diffeological orbit space. This is join work with Yael Karshon.

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