Hochschild homology and the de Rham complex, revisited
Event details
| Date | 20.11.2018 |
| Hour | 10:15 › 11:15 |
| Speaker | Arpon Raksit |
| Location | |
| Category | Conferences - Seminars |
I will describe a conceptual perspective on the story relating Hochschild homology and the algebraic de Rham complex in the setting of commutative rings. A bonus of this perspective is that it supplies a variant of the story in the setting of E-infinity algebras over the integers. The rough idea is as follows: by considering certain types of structure in higher algebra, we may give universal properties to the derived de Rham complex and the Hochschild-Kostant-Rosenberg filtration on Hochschild homology (and their analogues for E-infinity algebras); these objects are then related directly by these universal properties.
Practical information
- Expert
- Free