PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

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