2007-06-01
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Last day of class!

1. Your projects are due -- paper version + email me the *pdf* 
   at wstein@gmail.com.

2. I will have them all graded by June 11.  You can get your graded
   version back from me if you want. Email me.  

3. Colloquium-style lecture on the Birch and Swinnerton-Dyer conjecture:
      * clay math prize
      * degree of curves classification
      * degree 2 curve
      * a cubic curve
      * the group operation illustrated (again)
      * the mordell-weil theorem
      * conjectures proliferated
      * counting points mod p (sage worksheet)
      * hasse bound
      * prod p <= x  p/N(p)
      * L-function as infinite product.
      * graph of some l-functions
      * state the conjectures
      * examples in a sage worksheet
      * kolyvagin gross zagier theorem

4. Class is over:
    Reminders: * turn in projects electronically, too.
               * check the math 480 website in a few weeks for posted versions of projects
               * there will be a math 480 next spring on SAGE.
               * algebraic number theory grad class next quarter that I'm teaching.