Algebraic Geometry Seminar

Algebraic geometry was a strange place in the early '80s: there was a good algebraic candidate for K-theory, but not one for singular cohomology. This led to the idea of working backwards in spectral sequence-related constructions: producing "motivic filtrations" on non-commutative invariants, in order to extract cohomology theories. Recently, trace theory and modern p-adic tools enabled us to approach the problem on certain simplifications of algebraic K-theory, related to topological Hochschild homology (THH). In this talk, we plan to discuss the case of TR: a certain THH-analogue of the Witt vectors.