Inter-universal geometry と ABC予想 (応援スレ) 49

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 49 (1002ﾚｽ)
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460(2): 現代数学の系譜雑談 ◆yH25M02vWFhP 2020/10/14(水)16:44 ID:WB0JVdoR(3/6) AAS
Kirti Joshi氏は、IUTをperfectoid field に適用しようとしている（＾＾；

Twitterﾘﾝｸ:math_jin
math_jin 10月13日より
外部ﾘﾝｸ[pdf]:arxiv.org
Untilts of fundamental groups: construction of labeled
isomorphs of fundamental groups
Kirti Joshi
October 13, 2020
(抜粋)
1 Introduction
省15

461(1): 現代数学の系譜雑談 ◆yH25M02vWFhP 2020/10/14(水)16:44 ID:WB0JVdoR(4/6) AAS
>>460
つづき

An important consequence of these results is Corollary 3.1, which provides a function from
a suitable Fargues-Fontaine curve to the isomorphism class of the tempered fundamental group
of a fixed variety (as above) which provides a natural way of labeling the copies obtained here
by closed points of a suitable Fargues-Fontaine curve.
In the last section of the paper I show that there is an entirely analogous theory of untilts of
topological fundamental groups of connected Riemann surfaces.
This note began as a part of another note, [Jos20a], which I put into a limited circulation some time in July 2020, outlining my own approach to some constructions of [Moc12a;Moc12b; Moc12c; Moc12d]. Peter Scholze immediately, but gently, pointed out that the section of [Jos20a], from which the present note is extracted, needed some details.
At that time I was readying another note, [Jos20b], for wider circulation and addressing the issue noted by
省14

467(3): 現代数学の系譜雑談 ◆yH25M02vWFhP 2020/10/14(水)21:03 ID:qOwFO4Cy(4/11) AAS
>>460 追加

外部ﾘﾝｸ[pdf]:arxiv.org
Untilts of fundamental groups: construction of labeled
isomorphs of fundamental groups
Kirti Joshi
October 13, 2020
(抜粋)

This note began as a part of another note, [Jos20a], which I put into a limited circulation some time in July 2020, outlining my own approach to some constructions of [Moc12a;Moc12b; Moc12c; Moc12d]. Peter Scholze immediately, but gently, pointed out that the section of [Jos20a],
from which the present note is extracted, needed some details.
At that time I was readying another note, [Jos20b], for wider circulation and addressing the issue noted by
省11

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