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