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,

1. Kan simplicial objects with Grothendieck pretopologies, Lie n-groupoids, Lie 2-groups as categorification of Lie groups;

2. 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);

3. 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)