Simply Equations

William Chong

12:00, Friday, Nov. 22
BURN 1025



Starting with the well-known parametrization of Pythagorean Triples, I will present a survey in number theory about solving equations, including ABC theorem for polynomials (Mason-Stothers theorem), Chevalley-Warning theorem, Hensel's lemma (partial) and (if time allows) the number of zeroes of diagonal quadratic and cubic forms in local fields. Emphasis will be put on elegance of proofs instead of the degree of generalisation.

All graduate students are invited. As with all talks in the graduate student seminar, this talk will be accessible to all graduate students in math and stats.

This seminar was made possible by funding from the McGill mathematics and statistics department and PGSS.

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