Timeline for A question about the affine Grassmanian
Current License: CC BY-SA 2.5
5 events
| when toggle format | what | by | license | comment | |
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| Jan 23, 2011 at 16:08 | comment | added | David Ben-Zvi | I was referring to Bezrukavnikov's ICM address arXiv:math/0604445, though Lusztig's 1990 ICM is a beautiful must-read in the area. As for $F_q$ vs $C$ that's interesting but orthogonal to the flags vs Grassmannian question (let me just note Gaitsgory's not using measures and his paper could equally have been written over $C$ - which is eg where Bezrukavnikov applies his result). | |
| Jan 23, 2011 at 7:45 | comment | added | Najdorf | One more point, Gaitsgory is working $\mathbf{F}_q$. One immediate advantage is that he has a Haar measure on the loop group. But loop groups over $\mathbf{C}$ are not locally compact hence have no Haar measure. So I wonder how the Hecke algebras are defined in that case ... | |
| Jan 23, 2011 at 6:29 | comment | added | Najdorf | Could you be a bit more specific about what I should look into? It seems every non-empty subset of the people you mentioned have written a paper together! Also in which ICM did Lusztig talk about this? | |
| Jan 23, 2011 at 4:30 | comment | added | David Ben-Zvi | One should add that the affine flag variety is extremely important and well studied in representation theory, most spectacularly perhaps in the works of Bezrukavnikov with Ginzburg, Arkhipov, Mirkovic, Finkelberg and Ostrik proving numerous conjectures of Lusztig (see his ICM address for a great overview). | |
| Jan 23, 2011 at 4:28 | history | answered | David Ben-Zvi | CC BY-SA 2.5 |