# Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta-functions, notes on the work of Shinichi Mochizuki

@article{Fesenko2015ArithmeticDT, title={Arithmetic deformation theory via arithmetic fundamental groups and nonarchimedean theta-functions, notes on the work of Shinichi Mochizuki}, author={I. Fesenko}, journal={European Journal of Mathematics}, year={2015}, volume={1}, pages={405-440} }

These notes survey the main ideas, concepts and objects of the work by Shinichi Mochizuki on inter-universal Teichmüller theory (Inter-universal Teichmüller theory I–IV, 2012–2015) which might also be called arithmetic deformation theory, and its application to diophantine geometry. They provide an external perspective which complements the review texts of Mochizuki (Invitation to inter-universal Teichmüller theory (lecture note version), 2015) and (Algebraic Number Theory and Related Topics… Expand

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