Inter-universal geometry と ABC 予想 45

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4: １３２人目の素数さん [sage] 2020/02/28(金) 18:44:37.12 ID:ivJ0dySs

>>3 の続き

Inter-universal geometry と ABC予想　24
https://rio2016.5ch.net/test/read.cgi/math/1516888340
Inter-universal geometry と ABC予想　25
https://rio2016.5ch.net/test/read.cgi/math/1520299291
Inter-universal geometry と ABC予想　26
https://rio2016.5ch.net/test/read.cgi/math/1523148966
Inter-universal geometry と ABC予想　27
https://rio2016.5ch.net/test/read.cgi/math/1525616990
Inter-universal geometry と ABC予想　28
https://rio2016.5ch.net/test/read.cgi/math/1528525603
Inter-universal geometry と ABC予想　29
https://rio2016.5ch.net/test/read.cgi/math/1531344322
Inter-universal geometry と ABC予想　30
https://rio2016.5ch.net/test/read.cgi/math/1535260426
Inter-universal geometry と ABC予想　31
https://rio2016.5ch.net/test/read.cgi/math/1537711433
Inter-universal geometry と ABC予想　32
https://rio2016.5ch.net/test/read.cgi/math/1538755734
Inter-universal geometry と ABC予想　33
https://rio2016.5ch.net/test/read.cgi/math/1539459427
Inter-universal geometry と ABC予想　34
https://rio2016.5ch.net/test/read.cgi/math/1541001291
Inter-universal geometry と ABC予想　35
https://rio2016.5ch.net/test/read.cgi/math/1543778612
Inter-universal geometry と ABC予想　36
https://rio2016.5ch.net/test/read.cgi/math/1546010649
Inter-universal geometry と ABC予想　37
https://rio2016.5ch.net/test/read.cgi/math/1552141221

http://rio2016.5ch.net/test/read.cgi/math/1582883006/4

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

965: １３２人目の素数さん [sage] 2020/04/04(土) 09:33:29.12 ID:t13u2EPI

転載

Inter-universal geometry と ABC 予想 45
https://rio2016.5ch.net/test/read.cgi/math/1582883006/924
924 名前：１３２人目の素数さん[sage] 投稿日：2020/04/04(土) 04:30:16.20 ID:oEv2ickP [1/3]
Dupuyが明確にショルツ否定してるってさ
https://twitter.com/DupuyTaylor/status/1246142127538614272?s=19
Max Lieblich
@algeom
6時間
返信先: @DupuyTaylor
Didn't Scholze and Stix show that the Corollary in question is wrong?

Taylor Dupuy
@DupuyTaylor
6時間
They did not. The assertion they made is really really really elementary. Like its equivalent to A !=B and A=B at the same time.
There are other issues though, but we don't need a Field's Medalist to tell us this. There is a lot of appeal to authority going on here.

Max Lieblich
@algeom
1時間
返信先:
@DupuyTaylor
I assume when you mention “appeal to authority” you also include Fesenko’s bloviating and Mochizuki’s refusal to make himself clear.

（参考）
Max Lieblich
@algeom
Professor of Mathematics at the University of Washington
https://twitter.com/5chan_nel (5ch newer account)

http://rio2016.5ch.net/test/read.cgi/math/1582883006/965

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