Higher Symplectic Stacks (in Differential Geometry)
Prof. Chenchang Zhu (University of Göttingen)
Tuesdays 10th, 17th, 24th May 2022
(with possible fourth lecture on 31st May)
10:30 Irish Standard Time
Registration is free, but required - please use the linked form.
Zoom links for the lectures will be emailed to participants' registered email addresses.
Each lecture will last approximately 1 hour.
Contact: jack(dot)kelly(at)tcd(dot)ie
Abstract
In this series of lectures, we'd like to explore higher symplectic stacks in differential geometry with the framework of Lie n-groupoids. We'll talk, in more or less details on,
Kan simplicial objects with Grothendieck pretopologies, Lie n-groupoids, Lie 2-groups as categorification of Lie groups;
Morita equivalence: via a) hypercovers, b) weak equivalences, c) bibundles (sometimes called Hilsum-Skandalis bibundles); NQ manifolds (a sort of d.g. manifolds), Lie n-algebroids (as tangent complex of Lie n-groupoids);
m-shifted symplectic Lie n-groupoids, with example of BG (or Lie group) together with several interesting models of symplectic forms, symplectic Morita equivalence, I.M. (infinitesimal multiplicative) forms on Lie n-algebroids, which provide models of symplectic forms.
Organizers
Jack Kelly (Trinity College Dublin)
Kobi Kremnizer (University of Oxford)