# Remarks on the Birch-Swinnerton-Dyer conjecture

## TL;DR

This paper discusses the Birch-Swinnerton-Dyer conjecture, explores related conjectures, and examines the connection between nilpotent orbits of SL(2,R) and CM points, providing insights into these deep number theory topics.

## Contribution

It offers a brief overview of the conjecture and introduces new perspectives on the relation between nilpotent orbits and CM points.

## Key findings

- Relation between nilpotent orbits of SL(2,R) and CM points elucidated
- Related conjectures described and analyzed
- Provides a concise overview of the Birch-Swinnerton-Dyer conjecture

## Abstract

We give a brief description of the Birch-Swinnerton-Dyer conjecture and present related conjectures. We describe the relation between the nilpotent orbits of SL(2,R) and CM points.