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

Rational homotopy of embedding spaces: grt(Q) and unitrivalent graphs

Sep 1, 2022, 6:00 PM


Victor Turchin (Kansas State University)


I will speak about two distantly related topics. The first one is grt(Q) as subspace of the rational homotopy of spaces of long embeddings $R^m -> R^{2n}$, $2n-m>2$.
The second one is invariants of embeddings $f:M^m --> R^n$,$ n-m>2$, in terms of unitrivalent trees that encode the rational homotopy type of the path-component $Emb(M,R^n)_f$ of the embedding space $Emb(M,N)$. The first topic is a joint work with T. Willwacher, while the second one is a joint work with B. Fresse and T. Willwacher.

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