Oct 9 – 13, 2023
Le Bois-Marie
Europe/Paris timezone

The Arithmetic of Power Series and Applications to Irrationality

Oct 9, 2023, 2:00 PM
1h
Centre de conférences Marilyn et James Simons (Le Bois-Marie)

Centre de conférences Marilyn et James Simons

Le Bois-Marie

35, route de Chartres 91440 Bures-sur-Yvette

Speaker

Prof. Yunqing Tang (University of California - Berkeley)

Description

In this talk, we will discuss various irrationality and linear independence problems including the irrationality of 2-adic zeta value at 5. The proofs use an arithmetic holonomicity theorem, the special case of which was used in the proof of the unbounded denominators conjecture; arithmetic holonomicity theorems have also been studied in the recent work of Bost and Charles. This is a joint work in progress with Frank Calegari and Vesselin Dimitrov.

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