What question did this study set out to answer?

The aim is to explore the developments and applications of Hochschild (co)homology in various mathematical fields.

March 21, 2026Open Access

Hochschild (Co)Homology and Applications

Key Points

The aim is to explore the developments and applications of Hochschild (co)homology in various mathematical fields.
Review of the historical context of Hochschild theory.
Discussion of recent advancements in associated research areas.
Examining applications in singularities, deformations, and representations.
Hochschild theory provides valuable homological invariants.
Establishes connections across algebra, topology, and geometry.
Recent applications showcase its importance in studying singularities and deformations.

Abstract

In 1945 Gerhard Hochschild published On the cohomology groups of an associative algebra in the Annals of Mathematics and thereby created what is now called Hochschild theory. The subject not only provides interesting homological invariants; it also serves as a link connecting algebra, topology, and geometry. The focus of the meeting was on recent developments, for instance in the study of singularities, deformations, and representations.

Hochschild (Co)Homology and Applications

Key Points

Abstract

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