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.
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.
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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.
