In arithmetic topology, one aims to build analogies between 3-manifolds and spectra of number rings. A recent contribution in this direction was made by Minhyong Kim, by defining the arithmetic Chern-Simons functional. This provides, in the least, a large set of invariants for a number field. We will provide a Galois theoretic interpretation of some of these invariants, and also compute some of them. This is joint work with H. Chung, M. Kim, J. Park, and H. Yoo.
Speaker(s): Dohyeong Kim (University of Michigan)