## Lars Hesselholt

Address: Graduate School of Mathematics, Nagoya University,
Chikusa-ku, Nagoya 464-8602, Japan

E-mail: larsh@math.nagoya-u.ac.jp

Phone: +81 52 789 2547

**Oberwolfach Seminar:**
Topological Cyclic Homology and Arithmetic**, October 20-26, 2019.**
Dustin Clausen, Akhil Mathew, and myself organize an Oberwolfach
Seminar on Topological Cyclic Homology and Arithmetic. The purpose
of the seminar is to introduce the higher algebra refinements of
determinant and trace, namely, algebraic *K*-theory and
topological cyclic homology, along with their budding applications
in arithmetic geometry and number theory. In particular, we will
use these ingredients to build Clausen's Artin map from
*K*-theory of locally compact topological *R*-modules
to the dual of his Selmer *K*-theory of *R*, and explain
that for *R* a finite, local, or global field, this implies
Artin reciprocity. If you wish to participate, please follow the
instructions described
here
to register at seminars@mfo.de by August 11, 2019.