| Abstract: |
The even filtration, introduced by Hahn-Raksit-Wilson, is a canonical filtration attached to a commutative ring spectrum which measures its failure to have homotopy groups only in even degrees. Despite its extremely simple definition, the even filtration was shown to recover many geometrically and arithmetically important constructions, such as the Adams-Novikov filtration related to the the theory of formal groups or the Hochschild-Kostant-Rosenberg filtration related to differentials forms. This talk will be a gentle survey of this beautiful theory, together with a conjectural picture of its relationship to algebraic K-theory. |
