At the time of writing, the second lecture in the series is not available on the Internet.
In the arithmetic of elliptic curves, we are interested in the construction of points on an elliptic curve. In particular, it has been shown that we are able to bound certain Selmer groups using modular points, specifically the use of Heegner points by Kolyvagin and self points by Wuthrich. We will define these points and will show how they can be used to create the bounds and its generalisations.
This video is part of the London Mathematical Society‘s Online Graduate Lecture Series. These are supported by the LMS, and organized jointly by the ROW Diophantine Geometry Seminar, the ERLASS Arithmetic Statistics Seminar, and the Northern Number Theory Seminar.