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A quick introduction to Dwork's conjecture

Daqing Wan
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Abstract

This is an expository paper which gives a quick introduction to Dwork's conjecture about p-adic meromorphic continuation of his unit root zeta function arising from algebraic geometry. Special emphasis is given to the case of elliptic family and its relation to p-adic modular forms such as Gouvêa-Mazur conjecture and some sort of p-adic Ramanujuan-Peterson conjecture. There is also a section describing some of my personal interactions with Dwork.

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Daqing Wan. 1998-11-05. A quick introduction to Dwork's conjecture. https://arxiv.org/abs/math/9811190

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