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Tropical Geometry in Combinatorics and Algebra |
| October 12, 2009 to October 16, 2009 |
| Organized By: Federico Ardila* (San Francisco State University), David Speyer (MIT), Jenia Tevelev (U Mass Amherst), Lauren Williams (Harvard) |
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| Parent Programs: |
| Tropical Geometry |
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| Return to Workshop Description |
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Tropical analytic geometry and the Bogomolov conjecture
Wednesday October 14, 2009
09:00AM - 10:00AM
Speakers:
Walter Gubler
Abstract:
The Bogomolov conjecture from diophantine geometry describes the
distribution of the algebraic points inside a subvariety of an abelian
variety. In the number field case, the Bogomolov conjecture was proven by
Ullmo and Zhang using differential geometric tools from Arakelov geometry.
Surprisingly, the function field case is still open. As a partial result,
we will prove the Bogomolov conjecture for totally degenerate abelian
varieties. Tropical methods will replace differential geometry.
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