On GSpin(2n)-valued automorphic Galois representations

Abstract: I will present my joint work with Arno Kret, where we construct a GSpin($2n$)-valued $\ell$-adic Galois representation attached to a cuspidal cohomological automorphic representation $\pi$ of a suitable quasi-split form of GSO($2n$) over a totally real field, under the hypothesis that pi has a Steinberg component at a finite place. This uses input from the cohomology of certain Shimura varieties for GSO($2n$); as such we need to take a suitable form of GSO($2n$) depending on the parity of $n$. (We take the split form if and only if $n$ is even.)

number theory

Audience: researchers in the topic

Heilbronn number theory seminar

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