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Anabelian geometry, effective abc inequalities and their applications

时间：Mon., 10:00-11:00 am (Beijing time) Mar. 27, 2023

地点：Zoom ID: 4552601552 Passcode: YMSC Jin Chun Yuan West Building, 3rd floor Lecture Hall 近春园西楼三楼报告厅

组织者：About the Seminar This is a research seminar on topics related to number theory and its applications which broadly can include related areas of interests such as analytic and algebraic number theory, algebra, combinatorics, algebraic and arithmetic geometry, cryptography, representation theory etc. The speakers are also encouraged to make their talk more accessible for graduate level students. For more information, please refer to: http://www.bimsa.cn/newsinfo/647938.html. “ Anabelian geometry, effective abc inequalities and their applications / 主讲人 Speaker/ 图片 Ivan Fesenko University of Warwick Organizers / 组织者 Hansheng Diao, Yueke Hu, Emmanuel Lecouturier, Cezar Lupu Time / 时间 Mon., 10:00-11:00 am (Beijing time) Mar. 27, 2023 Online / 线上 Zoom ID: 4552601552 Passcode: YMSC Venue / 地点 Jin Chun Yuan West Building, 3rd floor Lecture Hall 近春园西楼三楼报告厅 Abstract I will introduce some key features of anabelian geometry and the IUT theory of Shinichi Mochizuki. Then I discuss several effective abc inequalities established in a recently published paper Explicit estimates in inter-universal Teichmüller theory, by S. Mochizuki, I. Fesenko, Y. Hoshi, A. Minamide, W. Porowski, Kodai Math. J. 45(2022) 175-236, and explain how their applications change Diophantine geometry. “ 图片 ” Scan the QR code for the full text Explicit estimates in inter-universal Teichmüller theory Speaker Professor Ivan Fesenko works in higher number theory and its interaction with algebraic geometry, K-theory, harmonic analysis and group theory. He is the author of higher adelic geometry and analysis program, with applications to several open problems including the Birch and Swinnerton-Dyer conjecture. Supervisor and host of sixty PhD students and postdoctoral researchers. Co-organizer of over 40 workshops, conferences and symposia. His research visits include stays at Poincaré Institute, Newton Institute, Hebrew University, RIMS, Max Planck Institute for Mathematics, Caltech, Columbia University, University of Chicago, University of Toronto, Bogomolov’s laboratory at the Higher School of Economics (Russia), the Institute for Advanced Study, Kyoto University.

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