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Irrationality of 2-Adic Zeta 5

Shimura Varieties and L-Functions March 13, 2023 - March 17, 2023

March 15, 2023 (10:30 AM PDT - 11:30 AM PDT)
Speaker(s): Yunqing Tang (University of California, Berkeley)
Location: MSRI: Simons Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
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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 and has also been studied in the recent work of Bost and Charles. We will also discuss some other linear independence problems.

This is joint work with Frank Calegari and Vesselin Dimitrov.

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