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Applications of arithmetic holonomicity theorems

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KA2W02 - Arithmetic geometry, cycles, Hodge theory, regulators, periods and heights

In this talk, we will discuss the proof of irrationality of 2-adic zeta value at 5. It uses an arithmetic holonomicity theorem, which can be viewed as a refinement of André’s algebraicity criterion. We will also discuss some variants of the arithmetic holonomicity theorem and potential applications. This is joint work with Frank Calegari and Vesselin Dimitrov.

This talk is part of the Isaac Newton Institute Seminar Series series.

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