Affiliation:
Tel Aviv University/MPIM Bonn
Date:
Wed, 14/01/2026 - 14:30 - 15:30
For a number field $K$ admitting an embedding into the field of real numbers $\mathbb{R}$, it is impossible to construct a functorial in $G$ group structure in the Galois cohomology pointed set $H^1(K,G)$ for all connected reductive $K$-groups $G$. However, over an arbitrary number field $K$, we define a power operation of raising to power $n$:
$$(x,n) \mapsto x^n : H^1(K,G) \times \mathbb{Z} \longrightarrow H^1(K,G).$$
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