Oberwolfach Seminar: Topological Cyclic Homology and Arithmetic

at.algebraic-topology kt.k-theory-and-homology nt.number-theory
Start Date
2019-10-20 
End Date
2019-10-26 
Institution
Mathematisches Forschungsinstitut Oberwolfach 
City
Oberwolfach 
Country
Germany 
Meeting Type
week-long meeting with talks by organizers and participants 
Homepage
https://www.mfo.de/occasion/1943b/www_view 
Contact Name
Dustin Clausen, Lars Hesselholt, Akhil Mathew 

Description

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 ag@mfo.de by August 11, 2019.

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