Talk page

Title:
Moduli Spaces of Nodal Curves from Homotopical Algebra

Speaker:
Yash Deshmukh

Abstract:
I will discuss how the Deligne-Mumford compactification of curves arises from the uncompactified moduli spaces of curves as a result of some algebraic operations related to (pr)operadic structures on the moduli spaces. I will describe how a variation of this naturally gives rise to another new partial compactification of moduli spaces curves. Time permitting, I will indicate how it is related to secondary operations on symplectic cohomology and discuss some ongoing work in this direction.

Link:
https://www.ias.edu/video/moduli-spaces-nodal-curves-homotopical-algebra