Derived McKay correspondence in dimensions 4 and above
1 hour 15 mins 37 secs,
1.02 GB,
MPEG-4 Video
640x360,
29.97 fps,
44100 Hz,
1.84 Mbits/sec
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About this item
| Description: |
Logvinenko, T (Warwick)
Tuesday 18 January 2011, 11:30-12:30 |
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| Created: | 2011-01-27 12:13 | ||||
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| Collection: | Moduli Spaces | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Logvinenko, T | ||||
| Language: | eng (English) | ||||
| Distribution: |
World
(downloadable)
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| Credits: |
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| Explicit content: | No | ||||
| Aspect Ratio: | 16:9 | ||||
| Screencast: | No | ||||
| Bumper: | UCS Default | ||||
| Trailer: | UCS Default | ||||
| Abstract: | Given a finite subgroup G of SL_n(C) the McKay correspondence studies the relation between G-equivalent geometry of C^n and the geometry of a resolution of Y of C^n/G. In their groundbreaking work, Bridgeland, Kind, and Reid have established that for n = 2,3 the scheme Y = G-Hilb(C^n) is a crepant resolution of C^n/G and that the derived category D(Y) is equivalent to the G-equivalent derived category D^G(C^n). It follows that we also have D(Y) = D^G(C^3) for any other crepant resolution Y of C^3/G. In this talk, I discuss possible ways of generalizing this to dimension 4 and above. |
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