Inter-universal Teichmuller theory and its Diophantine consequences. (35 hours in total) (The 3rd week of the series lectures at Kyushu Univ. is merged into this week at RIMS workshop.) (16-20/Mar/2015 at RIMS, verifications and further developments of inter-universal Teichmuller theory)
Inter-universal Teichmuller theory and its Diophantine consequences. (33.5 hours in total) (The 2nd week of the series lectures at Kyushu Univ. is merged into this week at RIMS workshop.) (9-13/Mar/2015 at RIMS, verifications and further developments of inter-universal Teichmuller theory)
副題(?)に「verifications and further developments of inter-universal Teichmuller theory」とありますね。 日本語に訳しますと「宇宙際Teichmuller理論の検証と更なる進展」ですね。 その "更なる進展" やらも講演の中で話されるのでしょうか?
On the verification and further development of inter-universal Teichmuller theory Location:Rm 420, 110 Period:2015-03-09--2015-03-20 Organizer:Shinichi Mochizuki (RIMS, Kyoto Univ.) http://www.kurims.kyoto-u.ac.jp/~kyodo/workshop-en.html
The news from Mochizuki is that there will be a workshop in March on his work, with proceedings to be published. Go Yamashita will be giving two weeks of lectures there. One can hope that this is good news, in that it promises the possibility of an exposition of Mochizuki’s claimed proof of the abc conjecture that will allow other mathematicians to finally understand it well enough to evaluate it. http://www.math.columbia.edu/~woit/wordpress/?p=7266
Acknowledgement The author cannot express enough his sincere and deep gratitude to Professors Shinichi Mochizuki and Kirti Joshi. Without their philosophies and amazinginsights, his study of mathematics would have remained “dormant”. The author deeply appreciates Professor Yuichiro Hoshi giving him helpful suggestions, as well as reading preliminary versions of the present paper. Butthe author alone, of course, is responsible for any errors and misconceptions in the present paper. Also, the author would also like to thank Professor Go Yamashita, Mr. Katsurou Takahashi (for giving him heartfelt encouragements), and the various individuals (including pointed stable curves of positive characteristic!) with whom the author became acquainted in Kyoto. The author means the present paper for a gratitude letter to them.
>>357 Mochizuki was known to be brilliant. Born in Tokyo, he moved to New York with his parents, Kiichi and Anne Mochizuki, when he was5 years old. He left home for high school, attending Philips Exeter Academy, a selective prep school in New Hampshire. There, he whipped through his academics with lightning speed, graduating after two years, at age 16, with advanced placements in mathematics, physics, American and European history, and Latin.
(中略)
Academic prowess is not the only characteristic that set Mochizuki apart from his peers. His friend, Oxford professor Minhyong Kim, says that Mochizuki’s most outstanding characteristic is his intense focus on work.
“Even among many mathematicians I’ve known, he seems to have an extremely high tolerance for just sitting and doing mathematics for long, long hours,” says Kim.
Mochizuki and Kim met in the early 1990s, when Mochizuki was still an undergraduate student at Princeton. Kim, on exchange from Yale University, recalls Mochizuki making his way through the works of French mathematician Alexander Grothedieck, whose books on algebraic and arithmetic geometry are a must-read for any mathematician in the field.
“Most of us gradually come to understand [Grothendieck’s works] over many years, after dipping into it here and there,” said Kim. “It adds up to thousands and thousands of pages.”
But not Mochizuki.
“Mochizuki…just read them from beginning to end sitting at his desk,” recalls Kim. “He started this process when he was still an undergraduate, and within a few years, he was just completely done.” ...
2014年11月12日 ・(論文)修正版を掲載(修正箇所のリスト): Inter-universal Teichmuller Theory III: Canonical Splittings of the Log-theta-lattice. ・(過去と現在の研究)IUTeichに関するレクチャーノートを更新(前の 2014-10版と比べて、p. 2(上)と p. 3(下)を少し修正)。 http://www.kurims.kyoto-u.ac.jp/~motizuki/news-japanese.html
2014年11月24日 ・(論文)修正版を掲載(修正箇所のリスト): Monomorphisms in Categories of Log Schemes. 2014年11月21日 ・(論文)修正版を掲載(修正箇所のリスト): Inter-universal Teichmuller Theory III: Canonical Splittings of the Log-theta-lattice. ・(論文)修正版を掲載(修正箇所のリスト): Topics in Absolute Anabelian Geometry III. ・(過去と現在の研究)2015年3月09日~20日、数理研で開催予定のIUTeich に関する研究集会(=日本語の講演による)の案内を更新。(英語による) 報告集は数理研の「講究録別冊」として刊行する予定である。 http://www.kurims.kyoto-u.ac.jp/~motizuki/news-japanese.html
数論幾何を志す学生が、Weil 予想の証明を勉強する際には Deligne の “La conjecture de Weil II”がセミナーなどでよく読まれるものだが、 近い将来、数論幾何を志す学生が abc 予想の証明を勉強する際には Go Yamashita の“A proof of abc conjecture after Mochizuki” が読まれることになるのだろう.
2014年12月22日 ・(論文)修正版を掲載(修正箇所のリスト): Inter-universal Teichmuller Theory I: Construction of Hodge Theaters. Inter-universal Teichmuller Theory II: Hodge-Arakelov-theoretic Evaluation. Inter-universal Teichmuller Theory IV: Log-volume Computations and Set-theoretic Foundations. ・(論文)コメントを掲載: A Panoramic Overview of Inter-universal Teichmuller Theory. ・(論文)コメントを更新: The Etale Theta Function and its Frobenioid-theoretic Manifestations. ・(過去と現在の研究)IUTeichに関するレクチャーノートを更新(前の 2014-11版と比べて、pp. 4, 5, 11, 12, 16を少し修正)。 http://www.kurims.kyoto-u.ac.jp/~motizuki/news-japanese.html
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