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On GSpin(2n)-valued automorphic Galois representations

Number Theory Seminar
April 19, 2021
4:15PM - 5:15PM
email organizers for Zoom link

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Add to Calendar 2021-04-19 16:15:00 2021-04-19 17:15:00 On GSpin(2n)-valued automorphic Galois representations 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/ email organizers for Zoom link Department of Mathematics math@osu.edu America/New_York public

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/

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