Base change and $K$-theory for $\mathrm{GL}(n)$
Base change and $K$-theory for $\mathrm{GL}(n)$
Let F be a nonarchimedean local field and let G = \mathrm{GL}(n) = \mathrm{GL}(n, F) . Let E/F be a finite Galois extension. We investigate base change E/F at two levels: at the level of algebraic varieties, and at the level of K -theory. We put special emphasis on the …