Pairs of commuting matrices

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• Tim Browning (IST Austria)
• Tuesday 29 October 2024, 14:30-15:30
• MR13.

If you have a question about this talk, please contact Jef Laga.

I’ll discuss commuting varieties and a new upper bound for the number of pairs of commuting n x n matrices with integer entries and height at most T, as T → \infty. Our approach uses Fourier analysis and mod p information, together with a result about the flatness of the commutator Lie bracket, which we also solve. This is joint work with Will Sawin and Victor Wang.

This talk is part of the Number Theory Seminar series.

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