Anabelian geometry, effective abc inequalities and their applications

Title: Anabelian geometry, effective abc inequalities and their applications

Speaker: Ivan Fesenko (University of Warwick)

Time: 10:00-11:00 Beijing time, Mar. 27, 2023

Zoom ID: 4552601552  Passcode: YMSC

Location: Jin Chun Yuan West Building, No. 1 conference room (近春园西楼第一会议室）

Abstract:

I will introduce some key features of anabelian geometry and the IUT theory of Shinichi Mochizuki, as a short version of longer talks.

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.

BIMSA-YMSC Tsinghua Number Theory Seminar