Inter-universal Mellin transform

Are you ready for “Inter-universal Mellin transform”?

http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20IV.pdf

Remark 2.2.1

Mochizuki now hopes to solve the Riemann Hypothesis

What role do moduli spaces play in this theory? Teichmüller theory is all about them, right? But then again, isn't Teichmüller theory not about complex Riemannian surfaces? That's weird, I don't see how this theory would be analogous.