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BIMSA-YMSC Tsinghua Number Theory Seminar
Anabelian geometry, effective abc inequalities, and their applications
Anabelian geometry, effective abc inequalities, and their applications
Organizers
Hansheng Diao
, Yueke Hu
, Emmanuel Lecouturier
,
Cezar Lupu
Speaker
Ivan Fesenko
Time
Monday, March 27, 2023 10:00 AM - 11:00 AM
Venue
JCY-Hall
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.