Algebra/Topology seminar

Speaker: Tobias Barthel

Title: Blueshift in chromatic homotopy theory.

Abstract: The chromatic perspective on stable homotopy theory organizes cohomology theories according to their height. In this talk, we briefly review this framework, present two constructions that are known to decrease height, and explain their conjectured behaviour. We then describe an approach to these conjectures based on joint work with Heard and Valenzuela, by formulating a version of local duality in chromatic homotopy theory.