＜IUT国際会議 2シリーズ＞ http://www.kurims.kyoto-u.ac.jp/~bcollas/IUT/IUT-schedule.html RIMS Promenade in Inter-Universal Teichmuller Theory Org.: Collas (RIMS); Debes, Fresse (Lille). The seminar takes place every two weeks on Thursday for 2 hours by Zoom 17:30-19:30, JP time (9:30-11:30, UK time; 10:30-12:30 FR time) ? we refer to the Programme for descriptions of the talks and associated references.
Notes 6^ https://wikimedia.org/api/rest_v1/media/math/render/svg/c080d78ddb6bf437db6ba043144f8715ad9d86e7 Maple Tech 1999 Solving Cyclotomic Polynomials by Radical Expressions Andreas Weber and Michael Keckeisen (抜粋) Abstract: We describe a Maple package that allows the solution of cyclotomic polynomials by radical expressions. We provide a function that is an extension of the Maple solve command.
How to Use the Library The library is included in the file ‘radsolvelib‘. read ‘radsolvelib‘:
Practical Limitations of the Algorithm Compared to [2] the implementation of the main algorithm has been optimized. For results in Table 1 we applied radsolve on all cyclotomic polynomials of (prime) degree up to 101 on a Sun Ultrasparc I workstation.
Table 1: Summary of Computations The following computations times refer to our Maple implementation of the algorithm on a Sun Ultrasparc I workstation.
p＝23 p-1＝2・11 comp.time (in sec.) 34 size of term (tree rep.) rational operations 7941 radical operations 442
size of term (dag rep.) rational operations 323 radical operations 5 0702現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/10/28(水) 00:14:16.80ID:a/w52AlF>>701
UltraSPARC I ね いまから見ると、しょぼい10万円以下のPCの方が性能上でしょうね Mapleでなくとも、類似のことはできそうに思う （自分はできないけど（＾＾ ）
（参考） http://www.kurims.kyoto-u.ac.jp/~motizuki/Alien%20Copies,%20Gaussians,%20and%20Inter-universal%20Teichmuller%20Theory.pdf The Mathematics of Mutually Alien Copies: from Gaussian Integrals to Inter-universal Teichmuller Theory. PDF NEW !! (2020-04-04) P3 “elliptic curve” whose q-parameters are the N-th powers “q^N ” of the q-parameters “q” of the given elliptic curve is roughly equal to the height of the given elliptic curve, i.e., that, at least from the point of view of [global] heights, q^N “≒” q [cf. §2.3, §2.4].
http://www.kurims.kyoto-u.ac.jp/~gokun/DOCUMENTS/abc2019Jul5.pdf 山下剛サーベイA proof of the abc conjecture after Mochizuki.preprint. Go Yamashita last updated on 8/July/2019 P27 (4) l is a prime number l ≧ 5 such that l is prime 略 the q-parameters of EF P39 where E has bad reduction with q-parameter qE,v 略 where qE,v = e^2πiτv and τv is in the upper half plane. (引用終り) 0716１３２人目の素数さん2020/10/31(土) 16:58:01.13ID:CLm9DCft>>715 >数論的因子に付随する数論的直線束
http://www.kurims.kyoto-u.ac.jp/~bcollas/IUT/IUT-schedule.html Promenade in Inter-Universal Teichmuller Theory Org.: Collas (RIMS); Debes, Fresse (Lille).
September 09/24 T0 IUT Introductory Talk Collas October 10/08 T1.1 Abc & Szpiro conjectures: Roth and Belyi Cluckers - Fresse 10/29 T3.1 Relative Bi-anabelian Geometry Porowski November 11/5 T1.2 Abc & Vojta conjectures: heights and ramification Debes 11/19 T3.2 Tempered Anabelian Geometry Tsujimura 0754粋蕎 ◆C2UdlLHDRI 2020/11/15(日) 16:21:08.99ID:iY6ObPGH 何じゃか瀬田氏が悪徳フェイク系自動車評論家の国沢光宏の実長男・悠来氏に思えて来た 0755現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/11/15(日) 16:23:54.63ID:70WnPA1Y>>753 >Promenade in IUT いままで4回 11/5分まで終了
なお、下記ですね
http://www.kurims.kyoto-u.ac.jp/~bcollas/IUT/documents/RIMS-Lille%20-%20Promenade%20in%20Inter-Universal%20Teichm%C3%BCller%20Theory.pdf Research Institute for Mathematical Sciences - Kyoto University, Japan PROMENADE IN INTER-UNIVERSAL TEICHMULLER THEORY - 復元 Online Seminar - Algebraic & Arithmetic Geometry Laboratoire Paul Painleve - Universite de Lille, France Version 1 - ε - 10/05/2020 (抜粋) TALK 1.2 - ABC & VOJTA CONJECTURES: HEIGHTS AND RAMIFICATION. Vojta Conjecture in its “generalized” form [Voj98] introduces further elements of arithmetic-geometry in terms of divisors, curves, and number fields. The Diophantine ingredient is here given by Weil’s notion of height, see [BG06] §2.4. As a result, one obtains a first connection with abc and the coarse moduli scheme M1,1 of one-pointed elliptic curves endowed with D = (0) + (1) + (∞). The Vojta conjecture with ramification for curves - see ibid. Conj 14.4.13 & 14.4.10 - is the equivalent form of abc (Strg.) in its number field version as formulated in Conj. 14.4.12. Vojta Conjecture (Curve NF.) For all curves C over any number field K, considering S ≦ MK a finite set of places on K, D a reduced effective divisor and H a ample line bundle on C, let ε > 0, then ｍS,D(P) + ｈKC (P) ≦ ｄ(P) + εｈH(P) + ο(K(P)：K](1) holds for every P ∈ C ＼ supp(D). Here, ｍS,D denotes the proximity function of local heights with respect to D and S of §14.3.1, and ｈ_● denotes the height function with respect to a line bundle.
The Vojta Conjecture for curves over number fields with ramification is proven to be equivalent to the strong abc-conjecture - see ibid. Th. 14.4.16. ※ A general Vojta for X a general irreducible smooth projective variety can be found in Conj. 14.3.2 that indeed holds for a linear situation in X = P^ｎ _K - see Th. 14.3.4. In the context of algebraic approximation, this idea of ramified covers also leads to a Roth’s Theorem, Th. 14.2.6, which is proven to be strictly equivalent to the original one - see Prop. 14.2.7. (引用終り) 以上 0757現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/11/15(日) 16:24:40.38ID:70WnPA1Y>>754 そば屋さん、そば売れてますか？ 0758粋蕎 ◆C2UdlLHDRI 2020/11/15(日) 17:06:50.90ID:iY6ObPGH フェイク評論だけでなく悪徳な風説の流布ばかりだとYahoo!株主総会で指摘が挙がり度重なる改善要求を受け､ 尚も全く改善されなかった国沢光宏のYahoo!ニュース記事、全削除処分へ｡
１．結果論ですが、IUTの出版が来年2021年の国際会議に間に合ったってことですね。2021年の国際会議には、好影響でしょう ２．プロ数学者は、Promenade in IUTとか、先日の米国大でのIUTの講義とか、いろんな情報は我々以上に把握していて、「IUTは正しそう」という合意に向かっている気がします ３．Promenade in IUTの仏Lille大学のプロ数学者たちも、単なるIUTのお勉強会で終わらすつもりはないでしょう 当然、自分たちの数学の研究に使う気でしょう。その成果は、おそらくは、来年の国際会議で発表されるはず 2021年に延びたことが吉ですね
http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20IV.pdf INTER-UNIVERSAL TEICHMULLER THEORY IV: ¨ LOG-VOLUME COMPUTATIONS AND SET-THEORETIC FOUNDATIONS Shinichi Mochizuki April 2020
P48～ Remark 2.2.1. In this context, it is of interest to observe that the form of the “ term” δ1/2 ・log(δ) is strongly reminiscent of well-known interpretations of the Riemann hypothesis in terms of the asymptotic behavior of the function defined by considering the number of prime numbers less than a given natural number.
(iii) In the well-known classical theory of the Riemann zeta function, the Riemann zeta function is closely related to the theta function, i.e., by means of the Mellin transform. In light of the central role played by theta functions in the theory of the present series of papers, it is tempting to hope, especially in the context of the observations of (i), (ii), that perhaps some extension of the theory of the present series of papers ? i.e., some sort of “inter-universal Mellin transform” ? may be obtained that allows one to relate the theory of the present series of papers to the Riemann zeta function. 0795１３２人目の素数さん2020/11/20(金) 14:18:09.55ID:PpSy4D/U 今は竹之内脩の時代ですよ 0796現代数学の系譜 雑談 ◆yH25M02vWFhP 2020/11/20(金) 23:10:07.36ID:Khql0RBshttps://twitter.com/math_jin math_jinさんがリツイート 石倉徹也 Tetsuya ISHIKURA @i_tetsuya137 ・ 11月19日 【ＡＢＣ予想が気になる方へ】
