Number Theory Web Seminar: Yunqing Tang (Princeton University)

Applications of arithmetic holonomicity theorems

In this talk, we will discuss the proof of the unbounded denominators conjecture on Fourier coefficients of SL_2(Z)-modular forms, and the proof of irrationality of 2-adic zeta value at 5. Both proofs use an arithmetic holonomicity theorem, which can be viewed as a refinement of André’s algebraicity criterion. If time permits, we will give a proof of the arithmetic holonomicity theorem via the slope method a la Bost.

This is joint work with Frank Calegari and Vesselin Dimitrov.

For further information about the seminar, please visit this webpage.

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