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Arithmetic Geometry |
| December 11, 2000 to December 15, 2000 |
| Organized By: Noam Elkies, William McCallum, Jean-François Mestre, Bjorn Poonen (chair) and René Schoof |
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| Parent Programs: |
| Algorithmic Number Theory |
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| Participant List: |
| View a List of Registered Participants |
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The workshop will focus on the development of explicit and computational methods in arithmetic geometry, as well as the complexity analysis of existing algorithms.
Topics include (but are not necessarily limited to) computational aspects of the following:
- determination of rational points on curves and higher dimensional varieties
- Mordell-Weil groups of elliptic curves and other abelian varieties
- Selmer and Shafarevich-Tate groups
- isogenies, endomorphism rings, and torsion subgroups of abelian varieties
- minimal proper regular models of curves
- Neron models and conductors of Jacobians
- equations for modular curves and Shimura curves
- function field analogues of all the above
- zeta functions of curves and other varieties over finite fields.
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For more information:
Questions about this workshop should be sent either by email to
or by regular mail to:
Arithmetic Geometry
Mathematical Sciences Research Institute
17 Gauss Way, Berkeley, CA
94720-5070.
USA
The Institute is committed to the principles of Equal Opportunity and Affirmative Action.
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