Speaker: Sug Woo Shin (UC Berkeley)
Title: On GSpin(2n)-valued automorphic Galois representations
Speaker's URL: https://math.berkeley.edu/~swshin/
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.)
URL associated with Seminar
https://research.math.osu.edu/numbertheory/