Talks in mathematical physics @ ETH Zürich

Title
Swiss-Cheese Operad and Drinfeld Center
Event
Talks in mathematical physics
Location
ETH Zürich
On
Event page
https://math.ethz.ch/news-and-events/events/research-seminars/talks-in-mathematical-physics.html?s=fs16
Slides
/talk/15-center_slides_en.pdf

Abstract

Voronov’s “Swiss-Cheese” operad governs the action of a little disks algebra on a little intervals algebra. In this talk, I will explain how to obtain models of the fundamental groupoid of the Swiss-Cheese operad: a first model using bicolored braids and whose algebras can be described using Drinfeld centers, and a second (rational) model that involves a Drinfeld associator. We will compare this model to the model deduced from the homology of the Swiss-Cheese operad, the difference being explained by the non-formality of SC.