Traces from K-theory and zeta functions

Abstract: When defining mathematical invariants there is usually give and take between computability and power. Algebraic $K$-theory imposes a very useful additivity property but still leaves us with significant computational difficulty. Considering homomorphisms from $K$-theory to other groups via the Dennis trace and its spectral generalizations is one way to approach this problem. In this talk I’ll describe settings where this often opaque map can be connected to characteristic polynomials and zeta functions.

Mathematics

Audience: researchers in the topic

Opening Workshop (IRP Higher Homotopy Structures 2021, CRM-Bellaterra)