20/05/07 11:45:05 AZEZWtke.net
>>208
南出スライド
§0 Notations：ここ 結構面白い
”V(F) def = V(F)non ∪ V(F)arc”か、変なものを考えていますねｗ（＾＾
このスライド結構良い
IUTの概念に慣れるのに、一見の価値ありです（＾＾；
（参考）
URLﾘﾝｸ(www.kurims.kyoto-u.ac.jp)
望月 過去と現在の研究
・南出新氏による、IUTeichにおける明示的な不等式に関する講演のスライドを掲載
URLﾘﾝｸ(www.kurims.kyoto-u.ac.jp)(in%20progress).pdf
Explicit estimates in inter-universal Teichm¨uller theory
(in progress)
(joint work w/ I. Fesenko, Y. Hoshi, S. Mochizuki, and
W. Porowski)
Arata Minamide
RIMS, Kyoto University
November 2, 2018
§0 Notations
V(F)non: the set of nonarchimedean places of F
V(F)arc: the set of archimedean places of F
V(F) def = V(F)non ∪ V(F)arc
§1 Introduction
Main theorem of IUTch:
There exist “multiradial representations”? i.e., description up to mild
indeterminacies in terms that make sense from the point of view of an
alien ring structure ? of the following data:
⇒ As an application, we obtain a diophantine inequality.
P7
Theorem (ABC Conjecture for number fields)
Note: We do not know the constant “C(d, ?)” explicitly.
For instance, it is hard to compute noncritical Belyi maps explicitly!
つづく