Euler structures and noncommutative volume forms

Pavel Safronov (University of Edinburgh, UK)

07-Apr-2022, 11:00-12:00 (24 months ago)

Abstract: Calabi-Yau structures on dg categories provide a noncommutative analog of symplectic structures. In this talk I will introduce a noncommutative analog of volume forms called noncommutative Euler structures. I will give some examples of these and relate noncommutative Euler structures to string topology-type operations. An application of these ideas is the proof that the Goresky--Hingston string coproduct on the homology of free loop space is not homotopy invariant. If I have time, I will also discuss how Euler structures give rise to volume forms on derived mapping stacks. This is a report on work in progress joint with Florian Naef.

mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry

Audience: researchers in the topic

( slides )

Comments: ZOOM Meeting Link icms-org-uk.zoom.us/j/82901356928?pwd=NmNReXc5U1M0MUFScEVLMEtyaU56dz09 Password: LAGOON22


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