Inter-universal geometry と ABC 予想 45

[過去ﾛｸﾞ] Inter-universal geometry と ABC 予想 45 (1002ﾚｽ)
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431: １３２人目の素数さん [sage] 2020/03/23(月) 21:02:51.50 ID:8hlHRLPg

モッチ「3.12の証明？ ホシちゃん、君はまだ PDF NEW !! (2020-03-22) を見ていないようだね」
ホシ「モッチ先生、まだ見てなかったです」
モッチ「NEW !! (2020-03-22)に書いたから、Corollary 3.12の証明は、もう秘密ではないのだよ」

http://www.kurims.kyoto-u.ac.jp/~motizuki/papers-japanese.html
望月新一論文
宇宙際Teichmuller理論
[3] Inter-universal Teichmuller Theory III: Canonical Splittings of the Log-theta-lattice. PDF NEW !! (2020-03-22)
http://www.kurims.kyoto-u.ac.jp/~motizuki/Inter-universal%20Teichmuller%20Theory%20III.pdf
P173
Corollary 3.12. (Log-volume Estimates for Θ-Pilot Objects) Suppose
that we are in the situation of Theorem 3.11. Write・・
P174
Proof. We begin by observing that, since |log(q)| > 0, we may assume without loss
of generality in the remainder of the proof that・・
P175
Now we proceed to review precisely what is achieved by the various portions of
Theorem 3.11 and, indeed, by the theory developed thus far in the present series of
papers. This review leads naturally to an interpretation of the theory that gives rise
to the inequality asserted in the statement of Corollary 3.12. For ease of reference,
we divide our discussion into steps, as follows.
(i) In the following discussion, we concentrate on a single arrow ・・
(ii) Whereas the units of the Frobenioids that appear in the・・
(iii) In the following discussion, it will be of crucial importance to relate・・
(iv) The issue discussed in (iii) is relevant in the context of the present・・
(v) Thus, we begin our computation of the 0-column Θ-pilot object in terms of
　・
　・
P185
(xii) In the context of the argument of (xi), it is useful to observe the important・・
QED

http://rio2016.5ch.net/test/read.cgi/math/1582883006/431

481: １３２人目の素数さん [sage] 2020/03/27(金) 21:03:40.74 ID:PNCnIYnC

https://openpayrolls.com/university-college/university-of-arizona/page-341
2019 Kirti N Joshi Associate Professor (Mathematics) University Of Arizona (UA)
https://openpayrolls.com/kirti-n-joshi-66718283
Kirti N Joshi (2019)
Pay, Salary, Benefits Information
Base/Regular Pay
$79,153

https://arxiv.org/search/advanced?advanced=&terms-0-operator=AND&terms-0-term=kirti+joshi&terms-0-field=author&classification-mathematics=y&classification-physics_
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Showing 1?42 of 42 results
1.arXiv:2003.01890  [pdf, ps, other]  math.AG math.NT
On Mochizuki's idea of Anabelomorphy and its applications
Authors: Kirti Joshi
Submitted 3 March, 2020; originally announced March 2020.

3.arXiv:1906.06840  [pdf, other]  math.AG math.NT
Mochizuki's anabelian variation of ring structures and formal groups
Authors: Kirti Joshi
Submitted 10 December, 2019; v1 submitted 17 June, 2019; originally announced June 2019.

28.arXiv:0912.3602  [pdf, ps, other]  math.AG
Hitchin-Mochizuki morphism, Opers and Frobenius-destabilized vector bundles over curves
Authors: Kirti Joshi, Christian Pauly
Submitted 15 January, 2015; v1 submitted 18 December, 2009; originally announced December 2009.

35.arXiv:math/0110068  [pdf, ps, other]  math.AG math.NT
A remark on potentially semi-stable representations of Hodge-Tate type (0,1)
Authors: Kirti Joshi, Minhyong Kim
Submitted 5 October, 2001; originally announced October 2001.
Comments: AMSLaTeX; to appear in Math. Zeit
Journal ref: Mathematische Zeitschrift 241 no. 3, Pages 479--483 2002

アマゾン/Elliptic-Curves-R-V-Gurjar/dp/8173195021
Elliptic Curves (英語) ハードカバー ? 2006/5/30
R. V. Gurjar (著), Kirti Joshi (著), Mohan Kumar (著)

http://rio2016.5ch.net/test/read.cgi/math/1582883006/481

490: １３２人目の素数さん [sage] 2020/03/28(土) 09:22:59.12 ID:MRwZqC/h

>>471
>それくらい普遍性のある理論かどうかが問題なんだから
>あと、応用の広さを強調する割に部分的な小さい成果を発表してないのも異常だし

女子
https://arxiv.org/abs/2003.01890
”On Mochizuki’s idea of Anabelomorphy and its applications Kirti Joshi March 5, 2020”
Abstract: Shinichi Mochizuki has introduced many fundamental ideas in his work, amongst one of them is the foundational notion, which I have dubbed anabelomorphy (pronounced as anabel-o-morphy).
I coined the term anabelomorphy as a concise way of expressing "Mochizuki's anabelian way of changing ground field, rings etc."
The notion of anabelomorphy is firmly grounded in a well-known theorem of Mochizuki which asserts that a p-adic field is determined by its absolute Galois group equipped with its (upper numbering) ramification filtration.
In this paper I provide a number of results which illustrate the usefulness of Mochizuki's idea.

https://arxiv.org/pdf/2003.01890.pdf
26 Perfectoid algebraic geometry as an example of anabelomorphy 61
Now let me record the following observation which I made in the course of writing [Jos19a] and [Jos19b]. A detailed treatment of assertions of this section will be provided in [DJ] where we establish many results in parallel with classical anabelian geometry.

27 The proof of the Fontaine-Colmez Theorem as an example of anabelomorphy on the Hodge side 62
Let me provide an important example of Anabelomorphy which has played a crucial role in the theory of Galois representations.
The Colmez-Fontaine Theorem which was conjectured by Jean-Marc Fontaine which asserts that “every weakly admissible filtered (φ, N) module is an admissible filtered (φ, N) module” and proved by Fontaine and Colmez in [CF00].

28 Anabelomorphy for p-adic differential equations 64
This section is independent of the rest of the paper. A reference for this material contained in this section is [And02].

http://rio2016.5ch.net/test/read.cgi/math/1582883006/490

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