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Workshop on Local-to-Global Principles in Arithmetical Algebraic Geometry Information

1999 Arizona Winter School

March 13-17, 1999

Tuscon, AZ, USA

Mathematics

Host: University of Arizona
Homepage: http://swc.math.arizona.edu/~swcenter/aws99/index.html
Email: swcenter@math.arizona.edu

Organizers: William McCallum, Wayne Raskind, and Douglas Ulmer

Description:

This conference is the second Arizona Winter School on Arithmetical Algebraic Geometry, which will be held annually for the next three years with funding from the National Science Foundation. The goal is to expose graduate students and young researchers in number theory and algebraic geometry to current topics in arithmetic geometry in a short span of time, and in an intense interactive environment with the presence of experts in the field. Lecture series and seminar talks will be combined with evening working sessions and other projects for encouraging active participation of the students. There will also be a professional development component which is intended to provide an opportunity for young researchers to acquire practical skills relevant to their careers (e.g., in teaching, writing, computing, etc.)

The topic for this year is `Local-to-Global Principles in Arithmetical Algebraic Geometry.' Lecture series are planned on the following topics: descent, the Shafarevich-Tate group, obstructions to the Hasse Principle, and the method of Coleman and Chabauty. Graduate student participants will each be assigned an advisor from one of the speakers for the duration of the workshop. Each student will be expected to report on their advisor's research talk during special sessions devoted to graduate student presentations.

The focus of the professional development component will be the use of computers to make explicit calculations.

Speakers: J.-L. Colliot-Thelene, J. Cremona, B. Mazur, W. G. McCallum, K. Rubin

Mail Address:

William McCallum 
Attn: SWCAAG Workshop 
Department of Mathematics 
University of Arizona 
Tucson, AZ 85721

Date received: January 23, 1999


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