##  [Swan Conductor](/swan-conductor) 

  ##  [Swan Conductor](https://puremath.quantumdictionary.io/swan-conductor-0) 

  

 [![Pure Mathematics Dictionary](/sites/default/files/styles/large/public/2026-01/Pure%20Mathematics.png.webp?itok=5pZnFQ59)](/topic-specific-dictionaries/mathematics-logic/pure-mathematics)

- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An invariant of a local Galois representation or of a finite extension of local fields that measures the depth of wild (non‑tame) ramification; it is the contribution to the conductor coming from higher ramification groups beyond the tame part.