Runge’s method for solving diophantine equations

Name: Runge’s method for solving diophantine equations
Start: 2022-04-20T16:30:00-04:00
End: 2022-04-20T17:30:00-04:00
Location: Science Center North Lawn

SEMINARS: OPEN NEIGHBORHOOD

When: April 20, 2022

4:30 pm - 5:30 pm

Where: Science Center North Lawn

Address: 1 Oxford St, Cambridge, MA 02138, United States

Speaker: 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