Hochschild cohomology in algebra, geometry, and topology. Abstracts from the workshop held February 14--20, 2016
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.
scientific article; zbMATH DE number 6841675