Timeline for Proof of Borel-Weil-Bott Theorem
Current License: CC BY-SA 2.5
2 events
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| Mar 22, 2010 at 20:26 | comment | added | Jim Humphreys |
Demazure's approach is certainly the most useful from the viewpoint of algebraic geometry in characteristic 0, but the related questions in characteristic $p>0$ remain to a large extent open and are natural follow-ups. As George indicates, Jantzen's book provides access to such questions in a unified framework. Andersen got started on his own work partly by exploring how Demazure's set-up might be adapted to characteristic $p$. But a full analogue of Bott's theorem probably requires some creative use of Kazhdan-Lusztig theory for the affine Weyl group.
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| Mar 22, 2010 at 19:39 | history | answered | George McNinch | CC BY-SA 2.5 |