The ABC conjecture; update on the modular approach


13:30:00 - 14:30:00

103 , Mathematics Research Center Building (ori. New Math. Bldg.)

In this lecture I will given a brief overview of the modular approach to the ABC conjecture, and then I will explain how this approach leads to partial effective results for the ABC conjecture without using linear forms in logarithms (joint work with Ram Murty). If time permits, I will also discuss some conjectures on the periods of elliptic curves related to the ABC conjecture, and how modular curves lead to some unconditional results.

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