Rank two Brill-Noether theory and the birational geometry of the moduli space of curves
1 hour 6 mins 31 secs,
922.94 MB,
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| Description: |
Farkas, G (Humboldt)
Tuesday 28 June 2011, 16:30-17:30 |
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| Created: | 2011-06-30 09:30 | ||||
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| Collection: | Moduli Spaces | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Farkas, G | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | I shall discuss applications of Koszul cohomology and rank two Brill-Noether theory to the intersection theory of the moduli space of curves. For instance, one can construct extremal divisors in M_g whose points are characterized in terms of existence of certain rank two vector bundles. I shall then explain how these subvarieties of M_g can be thought of as failure loci of an interesting prediction of Mercat in higher rank Brill-Noether theory. |
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