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Wei Zhang "Archimedes' cattle, Sylvester numbers and Heegner points."
Start Date: 11/14/2017Start Time: 4:30 PM
End Date: 11/14/2017End Time: 5:30 PM
Event Description:
Speaker:Wei Zhang,

Abstract:In the first lecture we will discuss two classical Diophantine questions.

(1) (Archimedes' cattle problem) what is the smallest (non-trivial) integer solution to the equation x^2 - 410286423278424 y^2 = 1
(2) (Sylvester) what integers can be represented as a sum of two cubes (of rational numbers)?

and how their solutions connect to class field theory for the rational number fields, resp., for imaginary quadratic fields.
Location Information:
Homewood - Krieger
Room: 306
Mathematics Department
Monroe H. Martin Lecture

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