Timeline for An analogue of Deligne--Lusztig theory for real groups?
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
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| Jan 21, 2016 at 21:16 | comment | added | Geordie Williamson | I just realised that I am repeating myself: mathoverflow.net/questions/109461/… | |
| Jan 21, 2016 at 20:57 | comment | added | Geordie Williamson | I find it helpful to think about $\mathbb{P}^1 \setminus \mathbb{P}^1(\mathbb{F}_q)$ as somewhat analogous to the upper half plane (or perhaps more precisely the upper and lower half planes $\mathbb{P}^1 \setminus \mathbb{P}^1(\mathbb{R})$). In case of finite reductive groups one gets interesting representations (Drinfeld's observation), and holomorphic sections for $SL_2(\mathbb{R})$ gives the discrete series. Beyond that I have no idea. I guess these ideas are not pursued as much because BB localisation gives a pretty convincing picture for real groups. | |
| Jan 21, 2016 at 9:40 | history | asked | user148212 | CC BY-SA 3.0 |