Arizona Winter School 1999
Schedule

Unless otherwise noted, all activities will take place in Room 201 of the Physical and Atmospheric Sciences building (PAS 201).

Saturday, March 13

9:00-10:00: McCallum: Method of Coleman and Chabauty I
10:15-11:15: Poonen: Mordell-Weil Groups, Selmer Groups, and Shafarevich-Tate Groups I
11:30-12:30: Tzermias: Torsion Points on Curves
2:00-3:00: Wetherell: Explicit Computations Using the Method of Coleman and Chabauty
3:15-4:15: Meetings of Graduate Student Project Groups
4:30-5:30: McCallum Graduate Student Project: Cyclic Descent on Jacobians
8:00-10:00: Question and Answer Session at Bill McCallum's house (with coffee and deserts)

9:00-10:00: McCallum: Method of Coleman and Chabauty II
10:15-11:15: Poonen: Mordell-Weil Groups, Selmer Groups, and Shafarevich-Tate Groups II
11:30-12:30: Rubin: Shafarevich-Tate Groups of CM Elliptic Curves
2:00-3:00: Wetherell: Refinements to the Method of Coleman and Chabauty
3:15-3:45: Nestler, Stroila: The Picard Group
3:45-4:15: Barbu: The Brauer Broup
4:30-5:00: Petzold: Class Field Theory
5:00-5:30: Budur, Unlu: Counter examples to the Hasse Principle and Weak Approximation
8:00-10:00: Question and Answer Session at Hotel

9:00-10:00: Harari: The Hasse Principle I
10:15-11:15: Cremona: Computational Aspects of 2-descents on Elliptic Curves
11:30-12:30: Rubin: Shafarevich-Tate Groups of Modular Elliptic Curves
Afternoon: Free time
8:00-10:00: Question and Answer Session at Hotel

9:00-10:00: Colliot-Thélène: The Hasse Principle II
10:15-11:15: TBA
11:30-12:30: Wetherell Graduate Student Project: Application of the Method of Coleman and Chabauty
2:00-3:00: Rubin Graduate Student Project: The Shafarevich-Tate Group in a Family of Quadratic Twists
3:15-4:15: Cremona: Survey of Computer Algebra Systems
4:30-5:30: Cremona Graduate Student Project: Computational Aspects of Rational Points on Genus Zero Curves
7:00-10:00: Banquet

9:00-10:00: Skorobogatov: The Hasse Principle III
10:15-10:45: Chinta: Weak Approximation for Linear Algebraic Groups
10:45-11:15: Scharaschkin: Cassels-Tate pairing versus Brauer-Manin pairing
11:30-12:30: Poonen Graduate Student Project: Computing the Mordell-Weil Rank of the Jacobian of a Genus Two Curve
2:00-3:00: Mazur: Visualizing Elements of the Shafarevich Tate Group
3:15-3:45: Stein: Visibility of Shafarevich-Tate Groups of Modular Abelian Varieties
3:45-4:15: Agashe: On Invisible Elements of the Shafarevich Tate Group
4:30-5:00: Marshall & Marshall: Jacobians of Genus One Curves
5:00-5:30: Klenke: Curves of Genus 1 in P^1 x P^1