Moduli Spaces of Nodal Curves from Homotopical Algebra - Yash Deshmukh

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Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar
Topic: Moduli Spaces of Nodal Curves from Homotopical Algebra
Speaker: Yash Deshmukh
Affiliation: Columbia University
Date: November 25, 2022

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.
  1. Institute for Advanced Study
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