Hochschild cohomology in algebra, geometry, and topology. Abstracts from the workshop held February 14--20, 2016
type: Item
instance of: scholarly article
title: Hochschild cohomology in algebra, geometry, and topology. Abstracts from the workshop held February 14--20, 2016
zbMATH Open document ID: 1380.00025
DOI: 10.4171/OWR/2016/10
published in: Oberwolfach Reports
publication date: 2018-02-21T00:00:00Z
review text: Summary: In 1945 Gerhard Hochschild published ``On the cohomology groups of an associative algebra'' in [Ann. Math. (2) 46, 58--67 (1945; Zbl 0063.02029)] and thereby created what is now called Hochschild theory. In [Ann. Math. (2) 78, 267--288 (1963; Zbl 0131.27302)], \textit{M. Gerstenhaber} proved that the Hochschild cohomology of any associative algebra carries a super-Poisson algebra structure, comprised of a graded commutative cup product and an odd super Lie algebra structure that acts through graded derivations with respect to the product. Subsequently, a number of higher structures have been discovered, and a vast body of research concerning and/or using Hochschild theory has developed in many different fields in mathematics and physics.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 16-06
Mathematics Subject Classification ID: 13D03
Mathematics Subject Classification ID: 16E40
Mathematics Subject Classification ID: 13-06
Mathematics Subject Classification ID: 55-06
Mathematics Subject Classification ID: 14F43
Mathematics Subject Classification ID: 83E30
zbMATH DE Number: 6841675
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/owr/2016/10
OpenAlex ID: W2531627291
description: scientific article; zbMATH DE number 6841675