Arizona Winter School 1999

General Information

• Title: “Local-to-Global Principles in Arithmetic Geometry”
• Dates: March 13-17, 1999
• Location: The University of Arizona
• Organizers: William McCallum, Wayne Raskind, and Douglas Ulmer

Speakers and Courses

• Jean-Louis Colliot-Thélène, assisted by David Harari and Alexei Skorobogatov: “The Hasse principle”
• Barry Mazur: “Visualizing elements of the Shafarevich-Tate group”(One lecture)
• Bill McCallum, assisted by Pavlos Tzermias and Joseph Wetherell: “The method of Coleman and Chabauty”
• Bjorn Poonen: “Mordell-Weil groups, Selmer groups, and Shafarevich-Tate groups”
• Karl Rubin: “Shafarevich-Tate groups of CM and modular elliptic curves”

Professional Development Component

• The focus of the professional development component was on symbolic computation. John Cremona spoke on “Computational aspects of 2-descents on elliptic curves” and gave a “Survey of computer algebra systems”.