inter-universal Teichmüller theory

English

Alternative forms

Etymology

Coined by Shinichi Mochizuki, from inter-universal and Teichmüller theory.

Noun

inter-universal Teichmüller theory (uncountable)

  1. (mathematics) an arithmetic version of Teichmüller theory for number fields equipped with an elliptic curve
    • 2021, Shinichi Mochizuki, “Inter-universal Teichmüller theory I: Construction of Hodge theaters”, in Publications of the Research Institute for Mathematical Sciences‎[1], volume 57, number 1, →ISSN, pages 3-207:
      The present paper is the first in a series of four papers, the goal of which is to establish an arithmetic version of Teichmüller theory for number fields equipped with an elliptic curve – which we refer to as "inter-universal Teichmüller theory" – by applying the theory of semi-graphs of anabelioids, Frobenioids, the étale theta function, and log-shells developed in earlier papers by the author.

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