U. Haifa Topology & Geometry seminar: Tuesday, Jan. 23, 2024. Speaker: Damien Calaque (Montpellier). Title: “Shifted symplectic reduction”.
This talk will be on Zoom:
https://us02web.zoom.us/j/83920631646?pwd=cWZRWjllZWEvdjVSNVhTdUxMMGlwUT09
I will start explaining that Hamiltonian reduction can be understood as a particular
instance of Lagrangian intersections, within the framework of shifted symplectic geometry.
One can see this first part of the talk as an example based introduction to the ideas
of shifted symplectic geometry.
This will naturally lead to consider shifted versions of Hamiltonian reduction.
I will then state the main result of the talk, saying that the derived critical locus
of a function defined on a quotient space X/G can be obtained as a shifted reduction
of the derived critical locus of the corresponding function on X.
This somehow follows from a more general fact, stating that shifted reduction commutes
with lagrangian intersection.
This is based on a joint work with Mathieu Anel.
