Pairs of commuting matrices
Victor Wang (IST Austria)
Wednesday 12th February 16:00-17:00 Maths 311B
Abstract
I'll discuss commuting varieties and a new upper bound for the number of pairs of commuting n-by-n matrices with integer entries and height at most T→∞. 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 Tim Browning and Will Sawin.
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