Algebra, Topology and the Grothendieck-Teichmüller group

August 28, 2022 to September 2, 2022
Europe/Zurich timezone

Gravity properad, moduli spaces M_g,n, and string topology

Aug 31, 2022, 11:00 AM
50m

Speaker

Sergei Merkulov (Luxembourg)

Description

Using Thomas Willwacher’s twisting endofunctor, and Kevin Costello’s theory of partially compactified moduli spaces of algebraic curves of arbitrary genus with marked points, we introduce a new dg properad which contains Ezra Getzler’s operad controlling genus zero moduli spaces. We discuss its applications in the theory of moduli spaces $M_g,n$, and in string topology

Presentation materials

There are no materials yet.