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>"タイヒミュラー"の 　"タ”の字も分からんやつに言われてもね〜〜ｗ

"タイヒミュラー"の 　"タ”の字
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https://www.kurims.kyoto-u.ac.jp/~motizuki/papers-japanese.html
宇宙際Teichmuller理論
https://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20I.pdf
[1] Inter-universal Teichmuller Theory I: Construction of Hodge Theaters. PDF NEW !! (2020-05-18)

P21
§I3. Basepoints and Inter-universality

It is this fundamental aspect of the theory of the present series of papers — i.e., of relating the distinct set-theoretic universes associated to the distinct f iber functors/basepoints on either side of such a non-ring/scheme-theoretic f ilter —that we refer to as inter-universal. This inter-universal aspect of the theory manifestly leads to the issue of considering
the extent to which one can understand various ring/scheme structures by considering only the underlying abstract topological group of some ´etale fundamental group arising from such a ring/scheme structure —i.e., in other words, of considering the absolute anabelian geometry [cf. the Introductions to [AbsTopI], [AbsTopII], [AbsTopIII]] of the rings/schemes under consideration.

P22
§I4. Relation to Complex and p-adic Teichm¨uller Theory

In order to understand the sense in which the theory of the present series of papers may be thought of as a sort of “Teichm¨uller theory” of number fields equipped with an elliptic curve, it is useful to recall certain basic, well-known facts concerning the classical complex Teichm¨uller theory of Riemann surfaces of f inite type [cf., e.g., [Lehto], Chapter V, §8]. Although such a Riemann surface is one-dimensional from a complex, holomorphic point of view, this single complex dimension may be thought of consisting of two underlying real analytic dimensions. Relative to a suitable canonical holomorphic coordinate z = x+iy on the Riemann surface, the Teichm¨uller deformation may be written in the form z→ ζ = ξ+iη= Kx+iy —where1<K<∞ is the dilation factor associated to the deformation.