# Arno Kret: Construction of Galois representations for GSO_2n

Time: Wed 2019-10-30 11.00 - 12.00

Lecturer: Arno Kret, Amsterdam

Location: SU 306

### Abstract

In this talk we report on some work in progress together with Sug Woo Shin, on the construction of Galois representations for certain forms of the group $$GSO_{2n}$$ over a totally real number field $$F$$. More precisely, we consider a quasi-split form $$G$$ of $$GSO_{2n}$$that is split if n is even and non-split if n is odd. Then we construct, for cohomological, cuspidal automorphic representations $$\pi$$ of $$G$$, a corresponding Galois representation, in case pi is at a finite place isomorphic (up to twist) to the Steinberg representation.

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Last changed: Oct 24, 2019