大風呂敷の受け売り
１）”the nonexistence of Siegel zeroes of Dirichlet L-functions”解決できるかも Mochizuki
２）”the Tate–Birch–Swinnerton-Dyer conjecture”とも関連 Fesenko
３）”higher class field theory”、”Langlands correspondences”とも関連 Fesenko
もし、みんな実現できたら、大変なことに ；ｐ）

(参考)
https://www.望月/IUT%20as%20an%20Anabelian%20Gateway%20(MFO-RIMS23%20Oberwolfach%20Report).pdf
Mathematisches Forschungsinstitut Oberwolfach
MFO-RIMS Tandem workshop: Arithmetic Homotopy and Galois Theory
Organized by B. Collas, Kyoto, P. Debes ` , Villeneuve d’Ascq, Y. Hoshi, Kyoto, and A. Mezard ´ , Paris
24 September – 29 September, 2023
[List of reports of the workshop]
Inter-universal Teichm¨uller Theory as an Anabelian Gateway to Diophantine Geometry and Analytic Number Theory
Shinichi Mochizuki (joint work with Yuichiro Hoshi, Arata Minamide, Shota Tsujimura, and Go Yamashita)
P6
4.1. Applications of the Galois-orbit version of IUT. One such new enhanced version of IUT is the Galois-orbit version of IUT (GalOrbIUT), which
implies the following:
・the nonexistence of Siegel zeroes of Dirichlet L-functions associated to imaginary quadratic number fields (i.e., by applying the work of Colmez/
Granville-Stark/T´afula),
・• a numerically stronger version of the abc/Szpiro inequalities.