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Arithmetic Geometry
Dec 11, 2000 to Dec 15, 2000

Organizer(s)

Noam Elkies, William McCallum, Jean-François Mestre, Bjorn Poonen (chair) and René Schoof
To apply for funding, you must register by Fri, Dec 15 2000.
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:


  1. determination of rational points on curves and higher dimensional varieties
  2. Mordell-Weil groups of elliptic curves and other abelian varieties
  3. Selmer and Shafarevich-Tate groups
  4. isogenies, endomorphism rings, and torsion subgroups of abelian varieties
  5. minimal proper regular models of curves
  6. Neron models and conductors of Jacobians
  7. equations for modular curves and Shimura curves
  8. function field analogues of all the above
  9. zeta functions of curves and other varieties over finite fields.

Funding

To apply for funding, you must register by Fri, Dec 15 2000. Click to Register
Students, recent Ph.D.'s, women, and members of underrepresented minorities are particularly encouraged to apply. Funding awards are made typically 6 weeks before the workshop begins. Requests received after the funding deadline are considered only if additional funds become available.
Parent Program(s):
Algorithmic Number Theory


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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