QP-structures of degree 3 and LWX 2-algebroids

GAP Seminar

Meeting Details

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

Speaker: Yunhe Sheng, Jilin University and Penn State

Abstract: In this talk, we give the notion of an LWX 2-algebroid and show that a QP-structure of degree 3 gives rise to an LWX 2-algebroid. This is the higher analogue of the result that a QP-structure of degree 2 gives rise to a Courant algebroid. An LWX 2-algebroid can also be viewed as a categorified Courant algebroid. We show that one can obtain a Lie 3-algebra from an LWX 2-algebroid. Furthermore, LWX 2-algebroids are constructed from split Lie 2-algebroids and split Lie 2-bialgebroids.

Room Reservation Information

Room Number: 104 Osmond Building

Date: 04/11/2017

Time: 2:35pm - 3:30pm