Extensions of Grothendieck's theorem on principal bundles over the projective line
Duration: 1 hour 4 mins 47 secs
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| Description: |
Thaddeus, M (Columbia)
Tuesday 21 June 2011, 11:30-12:30 |
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| Created: | 2011-06-24 16:17 | ||||
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| Collection: | Moduli Spaces | ||||
| Publisher: | Isaac Newton Institute | ||||
| Copyright: | Thaddeus, M | ||||
| Language: | eng (English) | ||||
| Credits: |
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| Abstract: | Let G be a split reductive group over a field. Grothendieck and Harder proved that any principal G-bundle over the projective line reduces (essentially uniquely) to a maximal torus. In joint work with Johan Martens, we show that this remains true when the base is a chain of lines, a football, a chain of footballs, a finite abelian gerbe over any of these, or the stack-theoretic quotient of any of these by a torus action. |
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