## Formality theorems and infinity-(pr)operads

### Marcy Robertson – 15 May 2019

In this talk I'll discuss two examples of infinity (pr)operads that arise from geometric examples-- the first comes from low dimensional topology and the theory of $w$-tangles and the second from the real points of a moduli space of algebraic curves with $n$-marked points. I'll explain how actions of these weakened (pr)operads are related to formality theorems for lie algebras and lie bialgebras.

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