Graduate Student Organization Seminar

Date: February 19, 2020

Time: 4:00PM - 5:00PM

Location: BLOC 628

Speaker: Tolulope Oke

Title: How contracting Homotopy helps to determine the Lie algebra structure on Hochschild cohomology

Abstract: We are all familiar with when two chain maps f,g between two chain complexes C and D are homotopic i.e there is a chain homotopy s from C to D[1] such that f-g=ds+sd. There is a similar notion of contracting homotopy between chain complexes. Hochschild cohomology possesses a cup product and a Lie bracket of degree -1. I will present how the contracting homotopy technique is used to determine the Lie structure on Hochschild cohomology for certain class of algebras.