Algebraic Number Theory: My "Ideal" Summer
January 27, 2006
Bailey Hall 201
Pastries and drinks will be served in Bailey 204 at 4 pm
The origins of algebraic number theory stem from attempts to solve Fermat's Last Theorem. In 1847, the French mathematician Lame claimed to have a proof of the famous theorem, but his proof was incorrect due to some mistaken assumptions about prime factorization in certain types of number systems. Although the world was forced to wait almost 150 years for a correct proof of Fermat's Last Theorem, the mathematics underlying Lame's mistakes led to this important branch of mathematics that is still heavily studied today. In this talk, I'll discuss work done last summer in the Algebraic Number Theory group at the SMALL REU summer research program at Williams College.
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