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Apr 3, 2021 at 0:40 vote accept Desiderius Severus
Mar 25, 2021 at 5:33 comment added Desiderius Severus Also, is there a relation with the Euler-Poincaré characteristic? (which is an alternate sum of dimensions of cohomologies very similar to those you wrote)
Mar 25, 2021 at 1:24 comment added Desiderius Severus Thank you for the clear answer. So I guess that, in case $G$ has discrete series representations, the discrete series occurring in these $\xi$-cohomological automorphic representations are exactly those having same central and infinitesimal character as $\xi$. Is there a relation between $\xi$-cohomological and L-packets or A-packets (e.g. can we say that the $\xi$-cohomological representations are a union of packets?).
Mar 24, 2021 at 21:33 history edited David Loeffler CC BY-SA 4.0
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Mar 24, 2021 at 19:13 history edited David Loeffler CC BY-SA 4.0
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Mar 24, 2021 at 18:47 history answered David Loeffler CC BY-SA 4.0