Open Neighborhood Seminar: Runge’s method for solving diophantine equations


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April 20, 2022 4:30 pm - 5:30 pm
Science Center North Lawn

Bjorn Poonen - MIT

It has been proved that there is no general algorithm for finding all the integer solutions to a multivariable polynomial equation. Nevertheless, there are some methods that succeed if the equation has a certain form. I will explain one such method. If you want to try to rediscover it yourself, try to provably find all the integer solutions to y^2 = x^4 + 4x^3 - 2x^2 + 6x + 20.

*This week the seminar will be held at the Science Center North Lawn