Grothendieck's Section Conjecture and zero-cycles on varieties
About this item
| Description: |
Szamuely, T (Renyi Institute)
Monday 27 July 2009, 14:00-15:00 |
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| Created: | 2009-07-29 16:04 | ||
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| Collection: | Non-Abelian Fundamental Groups in Arithmetic Geometry | ||
| Publisher: | Isaac Newton Institute | ||
| Copyright: | Szamuely, T (Renyi Institute) | ||
| Language: | eng (English) | ||
| Credits: |
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| Abstract: | After some background material on Grothendieck's Section Conjecture, we discuss an obstruction for the existence of splittings of the abelianized homotopy exact sequence for the étale fundamental group. As an application, we explain how to find examples for smooth projective curves over Q that have points everywhere locally but the homotopy exact sequence does not split. This is joint work with David Harari, with explicit examples contributed by Victor Flynn. |
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