Inter-universal geometry と ABC予想 (応援スレ) 45

[過去ﾛｸﾞ] Inter-universal geometry と ABC予想 (応援スレ) 45 (1002ﾚｽ)
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209: 現代数学の系譜 雑談 ◆e.a0E5TtKE  [] 2020/05/07(木) 07:41:32 ID:K7FsfJ9N

>>208 関連

Acknowledgementsに、Kiran Kedlaya、Emmanuel Lepage、Chung Pang Mok、Thomas Scanlon 達の名前が挙がっている
”Preparatory Center for Research in Next-Generation Geometry located at RIMS”も、挙がっているね

https://www.uvm.edu/~tdupuy/papers.html
[ Taylor Dupuy's Homepage]論文集
https://arxiv.org/pdf/2004.13108.pdf
3.Probabilistic Szpiro, Baby Szpiro, and Explicit Szpiro from Mochizuki's Corollary 3.12, (with A. Hilado) Date: April 30, 2020.
(抜粋)
P4
Acknowledgements.
This article is very much indebted to many previous expositions of
IUT including (but not limited to) [Fes15, Hos18, Ked15, Hos15, Sti15, Mok15, Moc17, Yam17, Hos17, Tan18, SS17].
The first author also greatly benefitted from conversations with many other mathematicians and would especially like to thank
Yuichiro Hoshi for helpful discussions regarding Kummer theory and his patience during discussions of the theta link and Mochizuki’s comparison;
Kirti Joshi for discussions on deformation theory in the context of IUT;
Kiran Kedlaya for productive discussions on Frobenioids, tempered fundamental groups, and global aspects of IUT;
Emmanuel Lepage for helpful discussions on the p-adic logarithm, initial theta data, aut holomorphic spaces, the log-kummer correspondence,
theta functions and their functional equations, tempered fundamental groups, log-structures,
cyclotomic synchronization, reconstruction of fundamental groups, reconstruction of decomposition groups,
the ”multiradial representation of the theta pilot object”, the third indeterminacy, the second indeterminacy, discussions on Hodge Theaters, labels,
and kappa coric functions, and discussions on local class field theory;

つづく

http://rio2016.5ch.net/test/read.cgi/math/1588552720/209

210: 現代数学の系譜 雑談 ◆e.a0E5TtKE  [] 2020/05/07(木) 07:41:52 ID:K7FsfJ9N

>>209

つづき

Shinichi Mochizuki for his patience in clarifying many aspects of his theory ? these include discussions regarding the relationship between IUT and Hodge Arakelov theory especially the role of ”global multiplicative subspaces” in IUT,
discussions on technical hypotheses in initial theta data;
discussions on Theorem 3.11 and ”(abc)-modules”,
discussions on mono-theta environments and the interior and exterior cyclotomes, discussions of the behavior of various objects with respect to automorphisms and providing comments on treatment of log-links and the use of polyisomorphisms, discussions on indeterminacies and the multiradial representation,
discussions of the theta link, discussions on various incarnations of Arakelov Divisors, discussions on cyclotomic synchronization;
Chung Pang Mok for productive discussions on the p-adic logarithm, anabelian evaluation, indeterminacies, the theta link, and hodge theaters;
Thomas Scanlon for discussions regarding interpretations and infinitary logic as applied to IUT and anabelian geometry.
We apologize if we have forgotten anybody.

The research discussed in the present paper profited enormously from the generous support of the International Joint Usage/Research Center (iJU/RC)
located at Kyoto Universities Research Institute for Mathematical Sciences (RIMS) as well as the Preparatory Center for Research in Next-Generation Geometry located at RIMS.
(引用終り)
以上

http://rio2016.5ch.net/test/read.cgi/math/1588552720/210

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