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Host: The Inn at Prospector Square
Homepage: http://www2.admin.ias.edu/ma/park99.htm
Organizers: Karl Rubin, Brian Conrad
Description:
At PCMI’s annual Summer Session, each of the individual groups – undergraduate students, graduate students, research mathematicians, undergraduate
faculty, high school teachers and mathematics education researchers – has its own program of courses and seminars. Through the strength of these individual
programs, the vitality of current mathematics research is emphasized, as are the complex issues involved in the teaching of mathematics at both the secondary and
the post-secondary level.
The presence of all of the Summer Session programs in one place at one time gives the whole enterprise an atmosphere not always found when one group meets by itself. The result is an environment which is informal, characterized by casual interaction among participants, but which is also conducive to study. This unique environment fosters an enthusiastic exchange of ideas and the beginnings of many collaborative relationships.
Arithmetic algebraic geometry is the interface between number theory and algebraic geometry. Many questions in number theory can be expressed in terms of solutions of polynomial equations, and algebraic geometry provides powerful tools for studying these polynomials and their solution sets. A great deal of activity in this area in recent years has answered some questions and raised many more. This program will address many of these topics.
Date received: January 22, 1999
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