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Unramified Correspondences and Torsion Points of Elliptic Curves

Fedor A. Bogomolov,

Courant Institute, NYU

May 04, 2017 - 16:00

Room: 1A150

Fedor A. Bogomolov,

Courant Institute, NYU

May 04, 2017 - 16:00

Room: 1A150

Abstract

I will report on the results of an ongoing project which we began some years ago with Yuri Tschinkel and continue with Hang Fu and Jin Qian. We say that a smooth projective curve **C** dominates **C'** if there is nonramified covering **C̃** of **C** which has a surjection onto **C'**. Thanks to Bely theorem we can show that any curve **C'** defined over **Q** is dominated by one of the curves **C _{n}, y^{n}-1 = x^{2}**. Over

Short bio

Fedor Alekseyevich Bogomolov was born on 26 September 1946 is Moscow, graduated from Moscow State University, Faculty of Mechanics and Mathematics, and earned his doctorate in 1973, in Steklov Institute, advised by Sergei Novikov. Bogomolov worked at Steklov Institute in Moscow, and in 1994 he became a full professor at the Courant Institute.

Bogomolov is known for his pioneering work on algebraic geometry. He worked extensively on Kaehler manifolds, especially Calabi-Yau manifolds, contributing to the foundation of Mirror Symmetry and String Theory. He is the author of about 100 papers, many of them containing milestone results and deep conjectures in algebraic geometry.

More infos are available here:

https://en.wikipedia.org/wiki/Fedor_Bogomolov