Steven Charlton: Depth reductions of multiple polylogarithms

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Full title: Depth reductions of multiple polylogarithms: (an overview of) the state of the art around Goncharov's Depth Conjecture

I will review the setup surrounding Goncharov's Depth Conjecture, and types of the multiple polylogarithm depth reductions it predicts. I will then discuss some recent results (of subsets of Gangl, Matveiakin, Radchenko, Rudenko, and myself) proving identities and reductions in this direction.




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