An operadic structure on supermoduli spaces

For zoom details contact Peter Teichner (teichner@mpim-bonn.mpg.de) or David Reutter.

The operadic structure on the moduli spaces of algebraic curves  encodes in a combinatorial way
how nodal curves in the boundary can be obtained by glueing smooth curves along marked points.
In this talk, I will present a generalization of the operadic structure to moduli spaces of SUSY curves
(or super Riemann surfaces). This requires colored graphs and generalized operads in the sense
of Borisov-Manin.

Based joint work with Yu. I. Manin and Y. Wu.
https://arxiv.org/abs/2202.10321 [3]