- Start Date
- End Date
- Mathematisches Forschungsinstitut Oberwolfach
- Meeting Type
- week-long meeting with talks by organizers and participants
- Contact Name
- Dustin Clausen, Lars Hesselholt, Akhil Mathew
We 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 firstname.lastname@example.org by August 11, 2019.
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