Contemporary methods for solving Diophantine equations

The Banff International Research Station will host the "Contemporary methods for solving Diophantine equations" workshop from June 10th to June 17th, 2012.

Diophantine equations are equations where we are interested in solutions that
are whole numbers. They are named after Diophantus of Alexandria, a 3rd Century
Greek mathematician, although the subject is much older. For over 350 years, one
of the most famous problems in Mathematics had been "Fermat's Last Theorem",
named after Pierre de Fermat (1601--1665), which claims that a certain equation
similar to the Pythagorean equation has no solutions. This claim was finally
established by Andrew Wiles in 1995.

The recent methods introduced by Wiles and others to prove Fermat's Last Theorem
are applicable to many families of Diophantine equations. However, these
techniques are fairly abstract and beginners find the subject very difficult to
penetrate. Our summer school will introduce graduate students to these
contemporary methods and prepare them to apply them productively in their own
work.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).

BIRS Scientific Director, Nassif Ghoussoub
E-mail: birs-director[@]birs.ca
http://www.birs.ca/~nassif