##  [P-Adic Hodge Theory](/p-adic-hodge-theory) 

  ##  [P-Adic Hodge Theory](https://puremath.quantumdictionary.io/p-adic-hodge-theory-0) 

  

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- Mathematics & Logic -

**Pure Mathematics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A framework that compares p-adic Galois representations arising from p-adic étale cohomology of algebraic varieties over p-adic fields with linear-algebraic objects coming from p-adic cohomology theories (Hodge–Tate, de Rham, crystalline, semistable), via period rings and functors that extract Hodge-type invariants.