Triple

Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).

Phrase: Poitou–Tate duality for p-adic representations | Statement: [Poitou–Tate duality, hasGeneralization, Poitou–Tate duality for p-adic representations]

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Poitou–Tate duality for p-adic representations
Triple: [Poitou–Tate duality, hasGeneralization, Poitou–Tate duality for p-adic representations]

Poitou–Tate duality for p-adic representations is an extension of global Galois cohomological duality that relates the cohomology of p-adic Galois representations over number fields to their local counterparts via exact sequences and perfect pairings.