For more information about this meeting, contact Stephanie Zerby, Chun Liu.

Title: | Why am I interested in the Feynman transform of the operad governing commutative algebras? |

Seminar: | Department of Mathematics Colloquium |

Speaker: | Vasily Dolgushev, Temple University (Host: Mathieu Stienon) |

Abstract: |

Operads and their generalizations are ubiquitous in mathematics.
One possible way to get an example of an operad is to consider
the collection $\{\operatorname{Hom}(X^n, X)\}_{n \ge 1}$ of sets of maps
for a fixed set $X$.
Another example comes from the Fulton--MacPherson compactification
of the configuration space of points. While for usual operads multiplications are encoded by planar trees, for \emph{modular operads}, introduced by Getzler and Kapranov, multiplications are encoded by certain graphs with some additional data.
My talk is devoted to a modular operad which was introduced
by Kapranov in his seminal paper on Rozansky--Witten invariants. I will
explain how this modular operad is related to Vassiliev finite type invariants of framed knots and to computation of homotopy groups of spaces of long knots ``modulo immersions.'' |

### Room Reservation Information

Room Number: | MB114 |

Date: | 12 / 11 / 2014 |

Time: | 03:30pm - 04:20pm |