Recursively Generating Formality Quasi-isomorphisms

GAP Seminar

Meeting Details

For more information about this meeting, contact Ping Xu, Eyal Subag, Nigel Higson, Mathieu Stiénon.

Speaker: Geoffrey Schneider, Temple

Abstract: \(\newcommand{\QQ}{\mathbb{Q}} \newcommand{\Calc}{\mathsf{Calc}} \newcommand{\Ger}{\mathsf{Ger}} \newcommand{\BV}{\mathsf{BV}}\) The original solutions to Deligne's conjecture is given as a construction of a sequence of quasi-isomorphisms defined via transcendental methods. In this talk we will see that the use of operadic methods allow us to "demystify" these quasi-isomorphisms such that they can be computed recursively over \(\QQ\). The conditions under which such a recursive construction can be carried out also hold for operads used in a generalization of Deligne's Conjecture replacing \(\Ger\) with \(\BV\), the operad governing Batalin-Vilkovisky algebras, and even more generally with an operad \(\Calc\).

Room Reservation Information

Room Number: 106 McAllister

Date: 10/18/2016

Time: 2:35pm - 3:30pm