Timeline for A question about the affine Grassmanian
Current License: CC BY-SA 2.5
5 events
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Jan 23, 2011 at 6:52 | comment | added | Ben Webster♦ | One thing that seems worth mentioning: the affine Grassmannian is analogous to spaces studied a lot by number theorists; replace $\mathbb C$ by a finite field $\mathbb F$ and suddenly what you're looking at is the group over the local field $\mathbb F((t))$ modulo its maximal compact. That's a lot like if you look at $G(\mathbb Q_p)$ and mod out by $G(\mathbb Z_p)$, which plays an important role in the theory of Hecke operators. | |
Jan 23, 2011 at 6:42 | comment | added | Ben Webster♦ | I think Scott and David's answer bring this out a bit, but let me emphasize: lots of people have studied this flag variety (try googling "affine flag variety" and "affine Springer fiber"); they aren't ignoring it out of spite, or something. It's just that the affine Grassmannian is so darn interesting. | |
Jan 23, 2011 at 4:28 | answer | added | David Ben-Zvi | timeline score: 6 | |
Jan 23, 2011 at 3:04 | answer | added | S. Carnahan♦ | timeline score: 2 | |
Jan 23, 2011 at 2:46 | history | asked | Najdorf | CC BY-SA 2.5 |